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Finding the Third Proportional to 415,359.14 and 622,346.73

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Solution

The third proportional to 415,359.14 and 622,346.73 is: 932,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,359.14 : 622,346.73 = 622,346.73 : x
  2. Step 2: Convert to fraction form
    415,359.14/622,346.73 = 622,346.73/x
  3. Step 3: Cross multiply
    415,359.14x = 622,346.73 × 622,346.73
  4. Step 4: Simplify right side
    415,359.14x = 387,315,452,925.14
  5. Step 5: Solve for x
    x = 387,315,452,925.14/415,359.14
  6. Step 6: Final answer
    x = 932,483.28

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Why These Related Problems?

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