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Finding the Third Proportional to 657,074 and 960,665

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Solution

The third proportional to 657,074 and 960,665 is: 1,404,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,074 : 960,665 = 960,665 : x
  2. Step 2: Convert to fraction form
    657,074/960,665 = 960,665/x
  3. Step 3: Cross multiply
    657,074x = 960,665 × 960,665
  4. Step 4: Simplify right side
    657,074x = 922,877,242,225
  5. Step 5: Solve for x
    x = 922,877,242,225/657,074
  6. Step 6: Final answer
    x = 1,404,525.58

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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.