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Finding the Third Proportional to 374,304 and 560,970

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Solution

The third proportional to 374,304 and 560,970 is: 840,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,304 : 560,970 = 560,970 : x
  2. Step 2: Convert to fraction form
    374,304/560,970 = 560,970/x
  3. Step 3: Cross multiply
    374,304x = 560,970 × 560,970
  4. Step 4: Simplify right side
    374,304x = 314,687,340,900
  5. Step 5: Solve for x
    x = 314,687,340,900/374,304
  6. Step 6: Final answer
    x = 840,726.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.