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Finding the Third Proportional to 375,534 and 576,422

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Solution

The third proportional to 375,534 and 576,422 is: 884,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,534 : 576,422 = 576,422 : x
  2. Step 2: Convert to fraction form
    375,534/576,422 = 576,422/x
  3. Step 3: Cross multiply
    375,534x = 576,422 × 576,422
  4. Step 4: Simplify right side
    375,534x = 332,262,322,084
  5. Step 5: Solve for x
    x = 332,262,322,084/375,534
  6. Step 6: Final answer
    x = 884,772.94

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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.