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Finding the Third Proportional to 279,536 and 613,987.50

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Solution

The third proportional to 279,536 and 613,987.50 is: 1,348,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,536 : 613,987.50 = 613,987.50 : x
  2. Step 2: Convert to fraction form
    279,536/613,987.50 = 613,987.50/x
  3. Step 3: Cross multiply
    279,536x = 613,987.50 × 613,987.50
  4. Step 4: Simplify right side
    279,536x = 376,980,650,156.25
  5. Step 5: Solve for x
    x = 376,980,650,156.25/279,536
  6. Step 6: Final answer
    x = 1,348,594.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.