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Finding the Third Proportional to 413,624 and 569,581

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Solution

The third proportional to 413,624 and 569,581 is: 784,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,624 : 569,581 = 569,581 : x
  2. Step 2: Convert to fraction form
    413,624/569,581 = 569,581/x
  3. Step 3: Cross multiply
    413,624x = 569,581 × 569,581
  4. Step 4: Simplify right side
    413,624x = 324,422,515,561
  5. Step 5: Solve for x
    x = 324,422,515,561/413,624
  6. Step 6: Final answer
    x = 784,341.61

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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.