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Finding the Third Proportional to 375,051 and 809,151

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Solution

The third proportional to 375,051 and 809,151 is: 1,745,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,051 : 809,151 = 809,151 : x
  2. Step 2: Convert to fraction form
    375,051/809,151 = 809,151/x
  3. Step 3: Cross multiply
    375,051x = 809,151 × 809,151
  4. Step 4: Simplify right side
    375,051x = 654,725,340,801
  5. Step 5: Solve for x
    x = 654,725,340,801/375,051
  6. Step 6: Final answer
    x = 1,745,696.83

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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.