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Finding the Third Proportional to 253,792 and 395,262

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Solution

The third proportional to 253,792 and 395,262 is: 615,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,792 : 395,262 = 395,262 : x
  2. Step 2: Convert to fraction form
    253,792/395,262 = 395,262/x
  3. Step 3: Cross multiply
    253,792x = 395,262 × 395,262
  4. Step 4: Simplify right side
    253,792x = 156,232,048,644
  5. Step 5: Solve for x
    x = 156,232,048,644/253,792
  6. Step 6: Final answer
    x = 615,590.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.