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Finding the Third Proportional to 350,460 and 767,259

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Solution

The third proportional to 350,460 and 767,259 is: 1,679,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,460 : 767,259 = 767,259 : x
  2. Step 2: Convert to fraction form
    350,460/767,259 = 767,259/x
  3. Step 3: Cross multiply
    350,460x = 767,259 × 767,259
  4. Step 4: Simplify right side
    350,460x = 588,686,373,081
  5. Step 5: Solve for x
    x = 588,686,373,081/350,460
  6. Step 6: Final answer
    x = 1,679,753.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.