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Finding the Third Proportional to 357,266 and 766,338

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Solution

The third proportional to 357,266 and 766,338 is: 1,643,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,266 : 766,338 = 766,338 : x
  2. Step 2: Convert to fraction form
    357,266/766,338 = 766,338/x
  3. Step 3: Cross multiply
    357,266x = 766,338 × 766,338
  4. Step 4: Simplify right side
    357,266x = 587,273,930,244
  5. Step 5: Solve for x
    x = 587,273,930,244/357,266
  6. Step 6: Final answer
    x = 1,643,800.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.