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Finding the Third Proportional to 417,251.25 and 910,941.19

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Solution

The third proportional to 417,251.25 and 910,941.19 is: 1,988,763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,251.25 : 910,941.19 = 910,941.19 : x
  2. Step 2: Convert to fraction form
    417,251.25/910,941.19 = 910,941.19/x
  3. Step 3: Cross multiply
    417,251.25x = 910,941.19 × 910,941.19
  4. Step 4: Simplify right side
    417,251.25x = 829,813,847,083.91
  5. Step 5: Solve for x
    x = 829,813,847,083.91/417,251.25
  6. Step 6: Final answer
    x = 1,988,763.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.