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Finding the Third Proportional to 657,070.88 and 960,660.84

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Solution

The third proportional to 657,070.88 and 960,660.84 is: 1,404,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,070.88 : 960,660.84 = 960,660.84 : x
  2. Step 2: Convert to fraction form
    657,070.88/960,660.84 = 960,660.84/x
  3. Step 3: Cross multiply
    657,070.88x = 960,660.84 × 960,660.84
  4. Step 4: Simplify right side
    657,070.88x = 922,869,256,714.46
  5. Step 5: Solve for x
    x = 922,869,256,714.46/657,070.88
  6. Step 6: Final answer
    x = 1,404,520.11

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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.