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Finding the Third Proportional to 259,074 and 610,701

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Solution

The third proportional to 259,074 and 610,701 is: 1,439,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,074 : 610,701 = 610,701 : x
  2. Step 2: Convert to fraction form
    259,074/610,701 = 610,701/x
  3. Step 3: Cross multiply
    259,074x = 610,701 × 610,701
  4. Step 4: Simplify right side
    259,074x = 372,955,711,401
  5. Step 5: Solve for x
    x = 372,955,711,401/259,074
  6. Step 6: Final answer
    x = 1,439,572.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.