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Finding the Third Proportional to 243,701 and 534,478

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Solution

The third proportional to 243,701 and 534,478 is: 1,172,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,701 : 534,478 = 534,478 : x
  2. Step 2: Convert to fraction form
    243,701/534,478 = 534,478/x
  3. Step 3: Cross multiply
    243,701x = 534,478 × 534,478
  4. Step 4: Simplify right side
    243,701x = 285,666,732,484
  5. Step 5: Solve for x
    x = 285,666,732,484/243,701
  6. Step 6: Final answer
    x = 1,172,201.72

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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.