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Finding the Third Proportional to 310,165.45 and 474,372.70

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Solution

The third proportional to 310,165.45 and 474,372.70 is: 725,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,165.45 : 474,372.70 = 474,372.70 : x
  2. Step 2: Convert to fraction form
    310,165.45/474,372.70 = 474,372.70/x
  3. Step 3: Cross multiply
    310,165.45x = 474,372.70 × 474,372.70
  4. Step 4: Simplify right side
    310,165.45x = 225,029,461,470.12
  5. Step 5: Solve for x
    x = 225,029,461,470.12/310,165.45
  6. Step 6: Final answer
    x = 725,514.27

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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.