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Finding the Third Proportional to 377,199 and 808,329

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Solution

The third proportional to 377,199 and 808,329 is: 1,732,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,199 : 808,329 = 808,329 : x
  2. Step 2: Convert to fraction form
    377,199/808,329 = 808,329/x
  3. Step 3: Cross multiply
    377,199x = 808,329 × 808,329
  4. Step 4: Simplify right side
    377,199x = 653,395,772,241
  5. Step 5: Solve for x
    x = 653,395,772,241/377,199
  6. Step 6: Final answer
    x = 1,732,230.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.