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Finding the Third Proportional to 244,280 and 535,792

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Solution

The third proportional to 244,280 and 535,792 is: 1,175,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,280 : 535,792 = 535,792 : x
  2. Step 2: Convert to fraction form
    244,280/535,792 = 535,792/x
  3. Step 3: Cross multiply
    244,280x = 535,792 × 535,792
  4. Step 4: Simplify right side
    244,280x = 287,073,067,264
  5. Step 5: Solve for x
    x = 287,073,067,264/244,280
  6. Step 6: Final answer
    x = 1,175,180.40

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Why These Related Problems?

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