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Finding the Third Proportional to 607,292 and 865,100

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Solution

The third proportional to 607,292 and 865,100 is: 1,232,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,292 : 865,100 = 865,100 : x
  2. Step 2: Convert to fraction form
    607,292/865,100 = 865,100/x
  3. Step 3: Cross multiply
    607,292x = 865,100 × 865,100
  4. Step 4: Simplify right side
    607,292x = 748,398,010,000
  5. Step 5: Solve for x
    x = 748,398,010,000/607,292
  6. Step 6: Final answer
    x = 1,232,352.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.