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Finding the Third Proportional to 562,144 and 738,051

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Solution

The third proportional to 562,144 and 738,051 is: 969,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,144 : 738,051 = 738,051 : x
  2. Step 2: Convert to fraction form
    562,144/738,051 = 738,051/x
  3. Step 3: Cross multiply
    562,144x = 738,051 × 738,051
  4. Step 4: Simplify right side
    562,144x = 544,719,278,601
  5. Step 5: Solve for x
    x = 544,719,278,601/562,144
  6. Step 6: Final answer
    x = 969,003.10

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.