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Finding the Third Proportional to 310,348.13 and 474,523.31

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Solution

The third proportional to 310,348.13 and 474,523.31 is: 725,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,348.13 : 474,523.31 = 474,523.31 : x
  2. Step 2: Convert to fraction form
    310,348.13/474,523.31 = 474,523.31/x
  3. Step 3: Cross multiply
    310,348.13x = 474,523.31 × 474,523.31
  4. Step 4: Simplify right side
    310,348.13x = 225,172,374,105.97
  5. Step 5: Solve for x
    x = 225,172,374,105.97/310,348.13
  6. Step 6: Final answer
    x = 725,547.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.