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Finding the Third Proportional to 413,242.50 and 626,103

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Solution

The third proportional to 413,242.50 and 626,103 is: 948,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,242.50 : 626,103 = 626,103 : x
  2. Step 2: Convert to fraction form
    413,242.50/626,103 = 626,103/x
  3. Step 3: Cross multiply
    413,242.50x = 626,103 × 626,103
  4. Step 4: Simplify right side
    413,242.50x = 392,004,966,609
  5. Step 5: Solve for x
    x = 392,004,966,609/413,242.50
  6. Step 6: Final answer
    x = 948,607.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.