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Finding the Third Proportional to 536,912 and 752,576

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Solution

The third proportional to 536,912 and 752,576 is: 1,054,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,912 : 752,576 = 752,576 : x
  2. Step 2: Convert to fraction form
    536,912/752,576 = 752,576/x
  3. Step 3: Cross multiply
    536,912x = 752,576 × 752,576
  4. Step 4: Simplify right side
    536,912x = 566,370,635,776
  5. Step 5: Solve for x
    x = 566,370,635,776/536,912
  6. Step 6: Final answer
    x = 1,054,866.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.