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Finding the Third Proportional to 305,063 and 463,814

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Solution

The third proportional to 305,063 and 463,814 is: 705,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,063 : 463,814 = 463,814 : x
  2. Step 2: Convert to fraction form
    305,063/463,814 = 463,814/x
  3. Step 3: Cross multiply
    305,063x = 463,814 × 463,814
  4. Step 4: Simplify right side
    305,063x = 215,123,426,596
  5. Step 5: Solve for x
    x = 215,123,426,596/305,063
  6. Step 6: Final answer
    x = 705,177.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.