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Finding the Third Proportional to 413,343 and 653,229.56

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Solution

The third proportional to 413,343 and 653,229.56 is: 1,032,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,343 : 653,229.56 = 653,229.56 : x
  2. Step 2: Convert to fraction form
    413,343/653,229.56 = 653,229.56/x
  3. Step 3: Cross multiply
    413,343x = 653,229.56 × 653,229.56
  4. Step 4: Simplify right side
    413,343x = 426,708,861,323.94
  5. Step 5: Solve for x
    x = 426,708,861,323.94/413,343
  6. Step 6: Final answer
    x = 1,032,336.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.