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Finding the Third Proportional to 350,486 and 762,480

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Solution

The third proportional to 350,486 and 762,480 is: 1,658,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,486 : 762,480 = 762,480 : x
  2. Step 2: Convert to fraction form
    350,486/762,480 = 762,480/x
  3. Step 3: Cross multiply
    350,486x = 762,480 × 762,480
  4. Step 4: Simplify right side
    350,486x = 581,375,750,400
  5. Step 5: Solve for x
    x = 581,375,750,400/350,486
  6. Step 6: Final answer
    x = 1,658,770.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.