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Finding the Third Proportional to 456,067.13 and 715,419

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Solution

The third proportional to 456,067.13 and 715,419 is: 1,122,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,067.13 : 715,419 = 715,419 : x
  2. Step 2: Convert to fraction form
    456,067.13/715,419 = 715,419/x
  3. Step 3: Cross multiply
    456,067.13x = 715,419 × 715,419
  4. Step 4: Simplify right side
    456,067.13x = 511,824,345,561
  5. Step 5: Solve for x
    x = 511,824,345,561/456,067.13
  6. Step 6: Final answer
    x = 1,122,256.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.