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Finding the Third Proportional to 582,394 and 877,695

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Solution

The third proportional to 582,394 and 877,695 is: 1,322,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,394 : 877,695 = 877,695 : x
  2. Step 2: Convert to fraction form
    582,394/877,695 = 877,695/x
  3. Step 3: Cross multiply
    582,394x = 877,695 × 877,695
  4. Step 4: Simplify right side
    582,394x = 770,348,513,025
  5. Step 5: Solve for x
    x = 770,348,513,025/582,394
  6. Step 6: Final answer
    x = 1,322,727.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.