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Finding the Third Proportional to 526,192 and 744,576

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Solution

The third proportional to 526,192 and 744,576 is: 1,053,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,192 : 744,576 = 744,576 : x
  2. Step 2: Convert to fraction form
    526,192/744,576 = 744,576/x
  3. Step 3: Cross multiply
    526,192x = 744,576 × 744,576
  4. Step 4: Simplify right side
    526,192x = 554,393,419,776
  5. Step 5: Solve for x
    x = 554,393,419,776/526,192
  6. Step 6: Final answer
    x = 1,053,595.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.