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Finding the Third Proportional to 657,064.88 and 960,651.94

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Solution

The third proportional to 657,064.88 and 960,651.94 is: 1,404,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,064.88 : 960,651.94 = 960,651.94 : x
  2. Step 2: Convert to fraction form
    657,064.88/960,651.94 = 960,651.94/x
  3. Step 3: Cross multiply
    657,064.88x = 960,651.94 × 960,651.94
  4. Step 4: Simplify right side
    657,064.88x = 922,852,145,022.50
  5. Step 5: Solve for x
    x = 922,852,145,022.50/657,064.88
  6. Step 6: Final answer
    x = 1,404,506.89

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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.