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Finding the Third Proportional to 350,484.50 and 767,298

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Solution

The third proportional to 350,484.50 and 767,298 is: 1,679,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,484.50 : 767,298 = 767,298 : x
  2. Step 2: Convert to fraction form
    350,484.50/767,298 = 767,298/x
  3. Step 3: Cross multiply
    350,484.50x = 767,298 × 767,298
  4. Step 4: Simplify right side
    350,484.50x = 588,746,220,804
  5. Step 5: Solve for x
    x = 588,746,220,804/350,484.50
  6. Step 6: Final answer
    x = 1,679,806.73

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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.