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Finding the Third Proportional to 526,052 and 744,353

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Solution

The third proportional to 526,052 and 744,353 is: 1,053,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,052 : 744,353 = 744,353 : x
  2. Step 2: Convert to fraction form
    526,052/744,353 = 744,353/x
  3. Step 3: Cross multiply
    526,052x = 744,353 × 744,353
  4. Step 4: Simplify right side
    526,052x = 554,061,388,609
  5. Step 5: Solve for x
    x = 554,061,388,609/526,052
  6. Step 6: Final answer
    x = 1,053,244.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.