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Finding the Third Proportional to 588,649 and 911,270

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Solution

The third proportional to 588,649 and 911,270 is: 1,410,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,649 : 911,270 = 911,270 : x
  2. Step 2: Convert to fraction form
    588,649/911,270 = 911,270/x
  3. Step 3: Cross multiply
    588,649x = 911,270 × 911,270
  4. Step 4: Simplify right side
    588,649x = 830,413,012,900
  5. Step 5: Solve for x
    x = 830,413,012,900/588,649
  6. Step 6: Final answer
    x = 1,410,709.97

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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.