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Finding the Third Proportional to 375,531 and 576,419

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Solution

The third proportional to 375,531 and 576,419 is: 884,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,531 : 576,419 = 576,419 : x
  2. Step 2: Convert to fraction form
    375,531/576,419 = 576,419/x
  3. Step 3: Cross multiply
    375,531x = 576,419 × 576,419
  4. Step 4: Simplify right side
    375,531x = 332,258,863,561
  5. Step 5: Solve for x
    x = 332,258,863,561/375,531
  6. Step 6: Final answer
    x = 884,770.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.