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Finding the Third Proportional to 588,560 and 884,640

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Solution

The third proportional to 588,560 and 884,640 is: 1,329,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,560 : 884,640 = 884,640 : x
  2. Step 2: Convert to fraction form
    588,560/884,640 = 884,640/x
  3. Step 3: Cross multiply
    588,560x = 884,640 × 884,640
  4. Step 4: Simplify right side
    588,560x = 782,587,929,600
  5. Step 5: Solve for x
    x = 782,587,929,600/588,560
  6. Step 6: Final answer
    x = 1,329,665.50

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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.