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Finding the Third Proportional to 357,274 and 766,352

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Solution

The third proportional to 357,274 and 766,352 is: 1,643,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,274 : 766,352 = 766,352 : x
  2. Step 2: Convert to fraction form
    357,274/766,352 = 766,352/x
  3. Step 3: Cross multiply
    357,274x = 766,352 × 766,352
  4. Step 4: Simplify right side
    357,274x = 587,295,387,904
  5. Step 5: Solve for x
    x = 587,295,387,904/357,274
  6. Step 6: Final answer
    x = 1,643,823.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.