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Finding the Third Proportional to 350,720 and 766,888

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Solution

The third proportional to 350,720 and 766,888 is: 1,676,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,720 : 766,888 = 766,888 : x
  2. Step 2: Convert to fraction form
    350,720/766,888 = 766,888/x
  3. Step 3: Cross multiply
    350,720x = 766,888 × 766,888
  4. Step 4: Simplify right side
    350,720x = 588,117,204,544
  5. Step 5: Solve for x
    x = 588,117,204,544/350,720
  6. Step 6: Final answer
    x = 1,676,885.28

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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.