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Finding the Third Proportional to 561,573 and 762,048

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Solution

The third proportional to 561,573 and 762,048 is: 1,034,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,573 : 762,048 = 762,048 : x
  2. Step 2: Convert to fraction form
    561,573/762,048 = 762,048/x
  3. Step 3: Cross multiply
    561,573x = 762,048 × 762,048
  4. Step 4: Simplify right side
    561,573x = 580,717,154,304
  5. Step 5: Solve for x
    x = 580,717,154,304/561,573
  6. Step 6: Final answer
    x = 1,034,090.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.