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Finding the Third Proportional to 420,877.50 and 631,802.25

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Solution

The third proportional to 420,877.50 and 631,802.25 is: 948,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,877.50 : 631,802.25 = 631,802.25 : x
  2. Step 2: Convert to fraction form
    420,877.50/631,802.25 = 631,802.25/x
  3. Step 3: Cross multiply
    420,877.50x = 631,802.25 × 631,802.25
  4. Step 4: Simplify right side
    420,877.50x = 399,174,083,105.06
  5. Step 5: Solve for x
    x = 399,174,083,105.06/420,877.50
  6. Step 6: Final answer
    x = 948,432.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.