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Finding the Third Proportional to 655,302.66 and 880,666.17

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Solution

The third proportional to 655,302.66 and 880,666.17 is: 1,183,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,302.66 : 880,666.17 = 880,666.17 : x
  2. Step 2: Convert to fraction form
    655,302.66/880,666.17 = 880,666.17/x
  3. Step 3: Cross multiply
    655,302.66x = 880,666.17 × 880,666.17
  4. Step 4: Simplify right side
    655,302.66x = 775,572,906,284.97
  5. Step 5: Solve for x
    x = 775,572,906,284.97/655,302.66
  6. Step 6: Final answer
    x = 1,183,533.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.