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Finding the Third Proportional to 657,065.67 and 960,653.04

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Solution

The third proportional to 657,065.67 and 960,653.04 is: 1,404,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,065.67 : 960,653.04 = 960,653.04 : x
  2. Step 2: Convert to fraction form
    657,065.67/960,653.04 = 960,653.04/x
  3. Step 3: Cross multiply
    657,065.67x = 960,653.04 × 960,653.04
  4. Step 4: Simplify right side
    657,065.67x = 922,854,261,460.02
  5. Step 5: Solve for x
    x = 922,854,261,460.02/657,065.67
  6. Step 6: Final answer
    x = 1,404,508.41

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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.