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Finding the Third Proportional to 452,115 and 614,034

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Solution

The third proportional to 452,115 and 614,034 is: 833,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,115 : 614,034 = 614,034 : x
  2. Step 2: Convert to fraction form
    452,115/614,034 = 614,034/x
  3. Step 3: Cross multiply
    452,115x = 614,034 × 614,034
  4. Step 4: Simplify right side
    452,115x = 377,037,753,156
  5. Step 5: Solve for x
    x = 377,037,753,156/452,115
  6. Step 6: Final answer
    x = 833,942.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.