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Finding the Third Proportional to 207,924 and 311,415

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Solution

The third proportional to 207,924 and 311,415 is: 466,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,924 : 311,415 = 311,415 : x
  2. Step 2: Convert to fraction form
    207,924/311,415 = 311,415/x
  3. Step 3: Cross multiply
    207,924x = 311,415 × 311,415
  4. Step 4: Simplify right side
    207,924x = 96,979,302,225
  5. Step 5: Solve for x
    x = 96,979,302,225/207,924
  6. Step 6: Final answer
    x = 466,417.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.