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Finding the Third Proportional to 582,552 and 787,065

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Solution

The third proportional to 582,552 and 787,065 is: 1,063,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,552 : 787,065 = 787,065 : x
  2. Step 2: Convert to fraction form
    582,552/787,065 = 787,065/x
  3. Step 3: Cross multiply
    582,552x = 787,065 × 787,065
  4. Step 4: Simplify right side
    582,552x = 619,471,314,225
  5. Step 5: Solve for x
    x = 619,471,314,225/582,552
  6. Step 6: Final answer
    x = 1,063,375.14

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Why These Related Problems?

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