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Finding the Third Proportional to 252,358 and 387,891

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Solution

The third proportional to 252,358 and 387,891 is: 596,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,358 : 387,891 = 387,891 : x
  2. Step 2: Convert to fraction form
    252,358/387,891 = 387,891/x
  3. Step 3: Cross multiply
    252,358x = 387,891 × 387,891
  4. Step 4: Simplify right side
    252,358x = 150,459,427,881
  5. Step 5: Solve for x
    x = 150,459,427,881/252,358
  6. Step 6: Final answer
    x = 596,214.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.