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Finding the Third Proportional to 272,492 and 659,360

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Solution

The third proportional to 272,492 and 659,360 is: 1,595,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,492 : 659,360 = 659,360 : x
  2. Step 2: Convert to fraction form
    272,492/659,360 = 659,360/x
  3. Step 3: Cross multiply
    272,492x = 659,360 × 659,360
  4. Step 4: Simplify right side
    272,492x = 434,755,609,600
  5. Step 5: Solve for x
    x = 434,755,609,600/272,492
  6. Step 6: Final answer
    x = 1,595,480.27

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.