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Finding the Third Proportional to 425,776 and 592,008

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Solution

The third proportional to 425,776 and 592,008 is: 823,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,776 : 592,008 = 592,008 : x
  2. Step 2: Convert to fraction form
    425,776/592,008 = 592,008/x
  3. Step 3: Cross multiply
    425,776x = 592,008 × 592,008
  4. Step 4: Simplify right side
    425,776x = 350,473,472,064
  5. Step 5: Solve for x
    x = 350,473,472,064/425,776
  6. Step 6: Final answer
    x = 823,140.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.