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Finding the Third Proportional to 582,049 and 869,488.75

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Solution

The third proportional to 582,049 and 869,488.75 is: 1,298,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,049 : 869,488.75 = 869,488.75 : x
  2. Step 2: Convert to fraction form
    582,049/869,488.75 = 869,488.75/x
  3. Step 3: Cross multiply
    582,049x = 869,488.75 × 869,488.75
  4. Step 4: Simplify right side
    582,049x = 756,010,686,376.56
  5. Step 5: Solve for x
    x = 756,010,686,376.56/582,049
  6. Step 6: Final answer
    x = 1,298,878.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.