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Finding the Third Proportional to 292,210.50 and 524,764.50

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Solution

The third proportional to 292,210.50 and 524,764.50 is: 942,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,210.50 : 524,764.50 = 524,764.50 : x
  2. Step 2: Convert to fraction form
    292,210.50/524,764.50 = 524,764.50/x
  3. Step 3: Cross multiply
    292,210.50x = 524,764.50 × 524,764.50
  4. Step 4: Simplify right side
    292,210.50x = 275,377,780,460.25
  5. Step 5: Solve for x
    x = 275,377,780,460.25/292,210.50
  6. Step 6: Final answer
    x = 942,395.23

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.