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Finding the Third Proportional to 540,462 and 807,663

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Solution

The third proportional to 540,462 and 807,663 is: 1,206,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,462 : 807,663 = 807,663 : x
  2. Step 2: Convert to fraction form
    540,462/807,663 = 807,663/x
  3. Step 3: Cross multiply
    540,462x = 807,663 × 807,663
  4. Step 4: Simplify right side
    540,462x = 652,319,521,569
  5. Step 5: Solve for x
    x = 652,319,521,569/540,462
  6. Step 6: Final answer
    x = 1,206,966.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.