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Finding the Third Proportional to 413,616.38 and 569,572.88

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Solution

The third proportional to 413,616.38 and 569,572.88 is: 784,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,616.38 : 569,572.88 = 569,572.88 : x
  2. Step 2: Convert to fraction form
    413,616.38/569,572.88 = 569,572.88/x
  3. Step 3: Cross multiply
    413,616.38x = 569,572.88 × 569,572.88
  4. Step 4: Simplify right side
    413,616.38x = 324,413,259,935.77
  5. Step 5: Solve for x
    x = 324,413,259,935.77/413,616.38
  6. Step 6: Final answer
    x = 784,333.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.