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Finding the Third Proportional to 582,050.81 and 869,491.69

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Solution

The third proportional to 582,050.81 and 869,491.69 is: 1,298,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,050.81 : 869,491.69 = 869,491.69 : x
  2. Step 2: Convert to fraction form
    582,050.81/869,491.69 = 869,491.69/x
  3. Step 3: Cross multiply
    582,050.81x = 869,491.69 × 869,491.69
  4. Step 4: Simplify right side
    582,050.81x = 756,015,794,631.60
  5. Step 5: Solve for x
    x = 756,015,794,631.60/582,050.81
  6. Step 6: Final answer
    x = 1,298,882.81

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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.