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Finding the Third Proportional to 253,459.13 and 474,994.13

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Solution

The third proportional to 253,459.13 and 474,994.13 is: 890,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,459.13 : 474,994.13 = 474,994.13 : x
  2. Step 2: Convert to fraction form
    253,459.13/474,994.13 = 474,994.13/x
  3. Step 3: Cross multiply
    253,459.13x = 474,994.13 × 474,994.13
  4. Step 4: Simplify right side
    253,459.13x = 225,619,418,784.52
  5. Step 5: Solve for x
    x = 225,619,418,784.52/253,459.13
  6. Step 6: Final answer
    x = 890,160.96

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.