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Finding the Third Proportional to 357,273 and 772,866

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Solution

The third proportional to 357,273 and 772,866 is: 1,671,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,273 : 772,866 = 772,866 : x
  2. Step 2: Convert to fraction form
    357,273/772,866 = 772,866/x
  3. Step 3: Cross multiply
    357,273x = 772,866 × 772,866
  4. Step 4: Simplify right side
    357,273x = 597,321,853,956
  5. Step 5: Solve for x
    x = 597,321,853,956/357,273
  6. Step 6: Final answer
    x = 1,671,891.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.