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Finding the Third Proportional to 350,689 and 767,002

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Solution

The third proportional to 350,689 and 767,002 is: 1,677,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,689 : 767,002 = 767,002 : x
  2. Step 2: Convert to fraction form
    350,689/767,002 = 767,002/x
  3. Step 3: Cross multiply
    350,689x = 767,002 × 767,002
  4. Step 4: Simplify right side
    350,689x = 588,292,068,004
  5. Step 5: Solve for x
    x = 588,292,068,004/350,689
  6. Step 6: Final answer
    x = 1,677,532.14

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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.