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Finding the Third Proportional to 377,079.19 and 527,459.34

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Solution

The third proportional to 377,079.19 and 527,459.34 is: 737,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,079.19 : 527,459.34 = 527,459.34 : x
  2. Step 2: Convert to fraction form
    377,079.19/527,459.34 = 527,459.34/x
  3. Step 3: Cross multiply
    377,079.19x = 527,459.34 × 527,459.34
  4. Step 4: Simplify right side
    377,079.19x = 278,213,359,309.18
  5. Step 5: Solve for x
    x = 278,213,359,309.18/377,079.19
  6. Step 6: Final answer
    x = 737,811.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.