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Finding the Third Proportional to 310,438,544 and 517,366,392

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Solution

The third proportional to 310,438,544 and 517,366,392 is: 862,225,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,438,544 : 517,366,392 = 517,366,392 : x
  2. Step 2: Convert to fraction form
    310,438,544/517,366,392 = 517,366,392/x
  3. Step 3: Cross multiply
    310,438,544x = 517,366,392 × 517,366,392
  4. Step 4: Simplify right side
    310,438,544x = 267,667,983,571,097,664
  5. Step 5: Solve for x
    x = 267,667,983,571,097,664/310,438,544
  6. Step 6: Final answer
    x = 862,225,354.24

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.