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Finding the Third Proportional to 269,060 and 584,776

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Solution

The third proportional to 269,060 and 584,776 is: 1,270,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,060 : 584,776 = 584,776 : x
  2. Step 2: Convert to fraction form
    269,060/584,776 = 584,776/x
  3. Step 3: Cross multiply
    269,060x = 584,776 × 584,776
  4. Step 4: Simplify right side
    269,060x = 341,962,970,176
  5. Step 5: Solve for x
    x = 341,962,970,176/269,060
  6. Step 6: Final answer
    x = 1,270,954.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.