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Finding the Third Proportional to 417,540 and 559,302

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Solution

The third proportional to 417,540 and 559,302 is: 749,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,540 : 559,302 = 559,302 : x
  2. Step 2: Convert to fraction form
    417,540/559,302 = 559,302/x
  3. Step 3: Cross multiply
    417,540x = 559,302 × 559,302
  4. Step 4: Simplify right side
    417,540x = 312,818,727,204
  5. Step 5: Solve for x
    x = 312,818,727,204/417,540
  6. Step 6: Final answer
    x = 749,194.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.