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Finding the Third Proportional to 582,053.63 and 869,496.75

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Solution

The third proportional to 582,053.63 and 869,496.75 is: 1,298,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,053.63 : 869,496.75 = 869,496.75 : x
  2. Step 2: Convert to fraction form
    582,053.63/869,496.75 = 869,496.75/x
  3. Step 3: Cross multiply
    582,053.63x = 869,496.75 × 869,496.75
  4. Step 4: Simplify right side
    582,053.63x = 756,024,598,260.56
  5. Step 5: Solve for x
    x = 756,024,598,260.56/582,053.63
  6. Step 6: Final answer
    x = 1,298,891.66

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