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Finding the Third Proportional to 588,636 and 911,250

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Solution

The third proportional to 588,636 and 911,250 is: 1,410,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,636 : 911,250 = 911,250 : x
  2. Step 2: Convert to fraction form
    588,636/911,250 = 911,250/x
  3. Step 3: Cross multiply
    588,636x = 911,250 × 911,250
  4. Step 4: Simplify right side
    588,636x = 830,376,562,500
  5. Step 5: Solve for x
    x = 830,376,562,500/588,636
  6. Step 6: Final answer
    x = 1,410,679.20

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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.