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Finding the Third Proportional to 576,261 and 832,524

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Solution

The third proportional to 576,261 and 832,524 is: 1,202,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,261 : 832,524 = 832,524 : x
  2. Step 2: Convert to fraction form
    576,261/832,524 = 832,524/x
  3. Step 3: Cross multiply
    576,261x = 832,524 × 832,524
  4. Step 4: Simplify right side
    576,261x = 693,096,210,576
  5. Step 5: Solve for x
    x = 693,096,210,576/576,261
  6. Step 6: Final answer
    x = 1,202,747.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.