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Finding the Third Proportional to 287,029 and 625,727

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Solution

The third proportional to 287,029 and 625,727 is: 1,364,093.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,029 : 625,727 = 625,727 : x
  2. Step 2: Convert to fraction form
    287,029/625,727 = 625,727/x
  3. Step 3: Cross multiply
    287,029x = 625,727 × 625,727
  4. Step 4: Simplify right side
    287,029x = 391,534,278,529
  5. Step 5: Solve for x
    x = 391,534,278,529/287,029
  6. Step 6: Final answer
    x = 1,364,093.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.