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Finding the Third Proportional to 350,080 and 767,930

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Solution

The third proportional to 350,080 and 767,930 is: 1,684,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,080 : 767,930 = 767,930 : x
  2. Step 2: Convert to fraction form
    350,080/767,930 = 767,930/x
  3. Step 3: Cross multiply
    350,080x = 767,930 × 767,930
  4. Step 4: Simplify right side
    350,080x = 589,716,484,900
  5. Step 5: Solve for x
    x = 589,716,484,900/350,080
  6. Step 6: Final answer
    x = 1,684,519.21

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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.