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Finding the Third Proportional to 243,480 and 374,472

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Solution

The third proportional to 243,480 and 374,472 is: 575,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,480 : 374,472 = 374,472 : x
  2. Step 2: Convert to fraction form
    243,480/374,472 = 374,472/x
  3. Step 3: Cross multiply
    243,480x = 374,472 × 374,472
  4. Step 4: Simplify right side
    243,480x = 140,229,278,784
  5. Step 5: Solve for x
    x = 140,229,278,784/243,480
  6. Step 6: Final answer
    x = 575,937.57

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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.