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Finding the Third Proportional to 350,694 and 767,700

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Solution

The third proportional to 350,694 and 767,700 is: 1,680,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,694 : 767,700 = 767,700 : x
  2. Step 2: Convert to fraction form
    350,694/767,700 = 767,700/x
  3. Step 3: Cross multiply
    350,694x = 767,700 × 767,700
  4. Step 4: Simplify right side
    350,694x = 589,363,290,000
  5. Step 5: Solve for x
    x = 589,363,290,000/350,694
  6. Step 6: Final answer
    x = 1,680,562.80

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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.