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Finding the Third Proportional to 361,232 and 562,532

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Solution

The third proportional to 361,232 and 562,532 is: 876,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,232 : 562,532 = 562,532 : x
  2. Step 2: Convert to fraction form
    361,232/562,532 = 562,532/x
  3. Step 3: Cross multiply
    361,232x = 562,532 × 562,532
  4. Step 4: Simplify right side
    361,232x = 316,442,251,024
  5. Step 5: Solve for x
    x = 316,442,251,024/361,232
  6. Step 6: Final answer
    x = 876,008.36

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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.