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Finding the Third Proportional to 310,184 and 467,868

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Solution

The third proportional to 310,184 and 467,868 is: 705,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,184 : 467,868 = 467,868 : x
  2. Step 2: Convert to fraction form
    310,184/467,868 = 467,868/x
  3. Step 3: Cross multiply
    310,184x = 467,868 × 467,868
  4. Step 4: Simplify right side
    310,184x = 218,900,465,424
  5. Step 5: Solve for x
    x = 218,900,465,424/310,184
  6. Step 6: Final answer
    x = 705,711.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.