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Finding the Third Proportional to 375,984 and 782,952.75

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Solution

The third proportional to 375,984 and 782,952.75 is: 1,630,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,984 : 782,952.75 = 782,952.75 : x
  2. Step 2: Convert to fraction form
    375,984/782,952.75 = 782,952.75/x
  3. Step 3: Cross multiply
    375,984x = 782,952.75 × 782,952.75
  4. Step 4: Simplify right side
    375,984x = 613,015,008,732.56
  5. Step 5: Solve for x
    x = 613,015,008,732.56/375,984
  6. Step 6: Final answer
    x = 1,630,428.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.