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Finding the Third Proportional to 657,067.13 and 960,655.13

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Solution

The third proportional to 657,067.13 and 960,655.13 is: 1,404,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,067.13 : 960,655.13 = 960,655.13 : x
  2. Step 2: Convert to fraction form
    657,067.13/960,655.13 = 960,655.13/x
  3. Step 3: Cross multiply
    657,067.13x = 960,655.13 × 960,655.13
  4. Step 4: Simplify right side
    657,067.13x = 922,858,269,188.77
  5. Step 5: Solve for x
    x = 922,858,269,188.77/657,067.13
  6. Step 6: Final answer
    x = 1,404,511.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.