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Finding the Third Proportional to 281,526 and 424,720

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Solution

The third proportional to 281,526 and 424,720 is: 640,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,526 : 424,720 = 424,720 : x
  2. Step 2: Convert to fraction form
    281,526/424,720 = 424,720/x
  3. Step 3: Cross multiply
    281,526x = 424,720 × 424,720
  4. Step 4: Simplify right side
    281,526x = 180,387,078,400
  5. Step 5: Solve for x
    x = 180,387,078,400/281,526
  6. Step 6: Final answer
    x = 640,747.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.