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Finding the Third Proportional to 473,761,129.50 and 736,477,339.50

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Solution

The third proportional to 473,761,129.50 and 736,477,339.50 is: 1,144,878,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,761,129.50 : 736,477,339.50 = 736,477,339.50 : x
  2. Step 2: Convert to fraction form
    473,761,129.50/736,477,339.50 = 736,477,339.50/x
  3. Step 3: Cross multiply
    473,761,129.50x = 736,477,339.50 × 736,477,339.50
  4. Step 4: Simplify right side
    473,761,129.50x = 542,398,871,596,998,272
  5. Step 5: Solve for x
    x = 542,398,871,596,998,272/473,761,129.50
  6. Step 6: Final answer
    x = 1,144,878,373.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.