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Finding the Third Proportional to 127,822 and 280,492

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Solution

The third proportional to 127,822 and 280,492 is: 615,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,822 : 280,492 = 280,492 : x
  2. Step 2: Convert to fraction form
    127,822/280,492 = 280,492/x
  3. Step 3: Cross multiply
    127,822x = 280,492 × 280,492
  4. Step 4: Simplify right side
    127,822x = 78,675,762,064
  5. Step 5: Solve for x
    x = 78,675,762,064/127,822
  6. Step 6: Final answer
    x = 615,510.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.