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Finding the Third Proportional to 391,465 and 834,203

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Solution

The third proportional to 391,465 and 834,203 is: 1,777,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,465 : 834,203 = 834,203 : x
  2. Step 2: Convert to fraction form
    391,465/834,203 = 834,203/x
  3. Step 3: Cross multiply
    391,465x = 834,203 × 834,203
  4. Step 4: Simplify right side
    391,465x = 695,894,645,209
  5. Step 5: Solve for x
    x = 695,894,645,209/391,465
  6. Step 6: Final answer
    x = 1,777,667.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.