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Finding the Third Proportional to 598,928 and 876,098

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Solution

The third proportional to 598,928 and 876,098 is: 1,281,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,928 : 876,098 = 876,098 : x
  2. Step 2: Convert to fraction form
    598,928/876,098 = 876,098/x
  3. Step 3: Cross multiply
    598,928x = 876,098 × 876,098
  4. Step 4: Simplify right side
    598,928x = 767,547,705,604
  5. Step 5: Solve for x
    x = 767,547,705,604/598,928
  6. Step 6: Final answer
    x = 1,281,535.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.