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Finding the Third Proportional to 386,550 and 601,146

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Solution

The third proportional to 386,550 and 601,146 is: 934,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,550 : 601,146 = 601,146 : x
  2. Step 2: Convert to fraction form
    386,550/601,146 = 601,146/x
  3. Step 3: Cross multiply
    386,550x = 601,146 × 601,146
  4. Step 4: Simplify right side
    386,550x = 361,376,513,316
  5. Step 5: Solve for x
    x = 361,376,513,316/386,550
  6. Step 6: Final answer
    x = 934,876.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.