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Finding the Third Proportional to 243,304 and 374,484

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Solution

The third proportional to 243,304 and 374,484 is: 576,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,304 : 374,484 = 374,484 : x
  2. Step 2: Convert to fraction form
    243,304/374,484 = 374,484/x
  3. Step 3: Cross multiply
    243,304x = 374,484 × 374,484
  4. Step 4: Simplify right side
    243,304x = 140,238,266,256
  5. Step 5: Solve for x
    x = 140,238,266,256/243,304
  6. Step 6: Final answer
    x = 576,391.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.