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Finding the Third Proportional to 371,125 and 827,246

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Solution

The third proportional to 371,125 and 827,246 is: 1,843,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,125 : 827,246 = 827,246 : x
  2. Step 2: Convert to fraction form
    371,125/827,246 = 827,246/x
  3. Step 3: Cross multiply
    371,125x = 827,246 × 827,246
  4. Step 4: Simplify right side
    371,125x = 684,335,944,516
  5. Step 5: Solve for x
    x = 684,335,944,516/371,125
  6. Step 6: Final answer
    x = 1,843,950.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.