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Finding the Third Proportional to 585,976 and 880,524

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Solution

The third proportional to 585,976 and 880,524 is: 1,323,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,976 : 880,524 = 880,524 : x
  2. Step 2: Convert to fraction form
    585,976/880,524 = 880,524/x
  3. Step 3: Cross multiply
    585,976x = 880,524 × 880,524
  4. Step 4: Simplify right side
    585,976x = 775,322,514,576
  5. Step 5: Solve for x
    x = 775,322,514,576/585,976
  6. Step 6: Final answer
    x = 1,323,130.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.