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Finding the Third Proportional to 243,712 and 534,510

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Solution

The third proportional to 243,712 and 534,510 is: 1,172,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,712 : 534,510 = 534,510 : x
  2. Step 2: Convert to fraction form
    243,712/534,510 = 534,510/x
  3. Step 3: Cross multiply
    243,712x = 534,510 × 534,510
  4. Step 4: Simplify right side
    243,712x = 285,700,940,100
  5. Step 5: Solve for x
    x = 285,700,940,100/243,712
  6. Step 6: Final answer
    x = 1,172,289.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.