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Finding the Third Proportional to 582,650 and 787,206

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Solution

The third proportional to 582,650 and 787,206 is: 1,063,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,650 : 787,206 = 787,206 : x
  2. Step 2: Convert to fraction form
    582,650/787,206 = 787,206/x
  3. Step 3: Cross multiply
    582,650x = 787,206 × 787,206
  4. Step 4: Simplify right side
    582,650x = 619,693,286,436
  5. Step 5: Solve for x
    x = 619,693,286,436/582,650
  6. Step 6: Final answer
    x = 1,063,577.25

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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.