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Finding the Third Proportional to 588,654 and 911,277

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Solution

The third proportional to 588,654 and 911,277 is: 1,410,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,654 : 911,277 = 911,277 : x
  2. Step 2: Convert to fraction form
    588,654/911,277 = 911,277/x
  3. Step 3: Cross multiply
    588,654x = 911,277 × 911,277
  4. Step 4: Simplify right side
    588,654x = 830,425,770,729
  5. Step 5: Solve for x
    x = 830,425,770,729/588,654
  6. Step 6: Final answer
    x = 1,410,719.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.