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Finding the Third Proportional to 360,292 and 834,094

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Solution

The third proportional to 360,292 and 834,094 is: 1,930,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,292 : 834,094 = 834,094 : x
  2. Step 2: Convert to fraction form
    360,292/834,094 = 834,094/x
  3. Step 3: Cross multiply
    360,292x = 834,094 × 834,094
  4. Step 4: Simplify right side
    360,292x = 695,712,800,836
  5. Step 5: Solve for x
    x = 695,712,800,836/360,292
  6. Step 6: Final answer
    x = 1,930,969.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.