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Finding the Third Proportional to 582,562.13 and 787,082.06

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Solution

The third proportional to 582,562.13 and 787,082.06 is: 1,063,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,562.13 : 787,082.06 = 787,082.06 : x
  2. Step 2: Convert to fraction form
    582,562.13/787,082.06 = 787,082.06/x
  3. Step 3: Cross multiply
    582,562.13x = 787,082.06 × 787,082.06
  4. Step 4: Simplify right side
    582,562.13x = 619,498,173,109.25
  5. Step 5: Solve for x
    x = 619,498,173,109.25/582,562.13
  6. Step 6: Final answer
    x = 1,063,402.76

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.