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Finding the Third Proportional to 384,594 and 514,251

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Solution

The third proportional to 384,594 and 514,251 is: 687,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,594 : 514,251 = 514,251 : x
  2. Step 2: Convert to fraction form
    384,594/514,251 = 514,251/x
  3. Step 3: Cross multiply
    384,594x = 514,251 × 514,251
  4. Step 4: Simplify right side
    384,594x = 264,454,091,001
  5. Step 5: Solve for x
    x = 264,454,091,001/384,594
  6. Step 6: Final answer
    x = 687,618.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.