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Finding the Third Proportional to 351,483 and 532,153

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Solution

The third proportional to 351,483 and 532,153 is: 805,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,483 : 532,153 = 532,153 : x
  2. Step 2: Convert to fraction form
    351,483/532,153 = 532,153/x
  3. Step 3: Cross multiply
    351,483x = 532,153 × 532,153
  4. Step 4: Simplify right side
    351,483x = 283,186,815,409
  5. Step 5: Solve for x
    x = 283,186,815,409/351,483
  6. Step 6: Final answer
    x = 805,691.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.