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Finding the Third Proportional to 279,296.25 and 597,957

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Solution

The third proportional to 279,296.25 and 597,957 is: 1,280,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,296.25 : 597,957 = 597,957 : x
  2. Step 2: Convert to fraction form
    279,296.25/597,957 = 597,957/x
  3. Step 3: Cross multiply
    279,296.25x = 597,957 × 597,957
  4. Step 4: Simplify right side
    279,296.25x = 357,552,573,849
  5. Step 5: Solve for x
    x = 357,552,573,849/279,296.25
  6. Step 6: Final answer
    x = 1,280,191.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.