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Finding the Third Proportional to 357,079.50 and 473,897.25

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Solution

The third proportional to 357,079.50 and 473,897.25 is: 628,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,079.50 : 473,897.25 = 473,897.25 : x
  2. Step 2: Convert to fraction form
    357,079.50/473,897.25 = 473,897.25/x
  3. Step 3: Cross multiply
    357,079.50x = 473,897.25 × 473,897.25
  4. Step 4: Simplify right side
    357,079.50x = 224,578,603,557.56
  5. Step 5: Solve for x
    x = 224,578,603,557.56/357,079.50
  6. Step 6: Final answer
    x = 628,931.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.