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Finding the Third Proportional to 259,282 and 559,028

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Solution

The third proportional to 259,282 and 559,028 is: 1,205,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,282 : 559,028 = 559,028 : x
  2. Step 2: Convert to fraction form
    259,282/559,028 = 559,028/x
  3. Step 3: Cross multiply
    259,282x = 559,028 × 559,028
  4. Step 4: Simplify right side
    259,282x = 312,512,304,784
  5. Step 5: Solve for x
    x = 312,512,304,784/259,282
  6. Step 6: Final answer
    x = 1,205,298.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.