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Finding the Third Proportional to 582,117 and 883,017

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Solution

The third proportional to 582,117 and 883,017 is: 1,339,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,117 : 883,017 = 883,017 : x
  2. Step 2: Convert to fraction form
    582,117/883,017 = 883,017/x
  3. Step 3: Cross multiply
    582,117x = 883,017 × 883,017
  4. Step 4: Simplify right side
    582,117x = 779,719,022,289
  5. Step 5: Solve for x
    x = 779,719,022,289/582,117
  6. Step 6: Final answer
    x = 1,339,454.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.