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Finding the Third Proportional to 310,079 and 467,549

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Solution

The third proportional to 310,079 and 467,549 is: 704,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,079 : 467,549 = 467,549 : x
  2. Step 2: Convert to fraction form
    310,079/467,549 = 467,549/x
  3. Step 3: Cross multiply
    310,079x = 467,549 × 467,549
  4. Step 4: Simplify right side
    310,079x = 218,602,067,401
  5. Step 5: Solve for x
    x = 218,602,067,401/310,079
  6. Step 6: Final answer
    x = 704,988.30

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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.