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Finding the Third Proportional to 415,858.50 and 626,744.25

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Solution

The third proportional to 415,858.50 and 626,744.25 is: 944,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,858.50 : 626,744.25 = 626,744.25 : x
  2. Step 2: Convert to fraction form
    415,858.50/626,744.25 = 626,744.25/x
  3. Step 3: Cross multiply
    415,858.50x = 626,744.25 × 626,744.25
  4. Step 4: Simplify right side
    415,858.50x = 392,808,354,908.06
  5. Step 5: Solve for x
    x = 392,808,354,908.06/415,858.50
  6. Step 6: Final answer
    x = 944,572.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.