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Finding the Third Proportional to 252,920 and 545,248

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Solution

The third proportional to 252,920 and 545,248 is: 1,175,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,920 : 545,248 = 545,248 : x
  2. Step 2: Convert to fraction form
    252,920/545,248 = 545,248/x
  3. Step 3: Cross multiply
    252,920x = 545,248 × 545,248
  4. Step 4: Simplify right side
    252,920x = 297,295,381,504
  5. Step 5: Solve for x
    x = 297,295,381,504/252,920
  6. Step 6: Final answer
    x = 1,175,452.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.