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Finding the Third Proportional to 585,978 and 880,527

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Solution

The third proportional to 585,978 and 880,527 is: 1,323,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,978 : 880,527 = 880,527 : x
  2. Step 2: Convert to fraction form
    585,978/880,527 = 880,527/x
  3. Step 3: Cross multiply
    585,978x = 880,527 × 880,527
  4. Step 4: Simplify right side
    585,978x = 775,327,797,729
  5. Step 5: Solve for x
    x = 775,327,797,729/585,978
  6. Step 6: Final answer
    x = 1,323,134.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.