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Finding the Third Proportional to 275,298.75 and 567,729

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Solution

The third proportional to 275,298.75 and 567,729 is: 1,170,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,298.75 : 567,729 = 567,729 : x
  2. Step 2: Convert to fraction form
    275,298.75/567,729 = 567,729/x
  3. Step 3: Cross multiply
    275,298.75x = 567,729 × 567,729
  4. Step 4: Simplify right side
    275,298.75x = 322,316,217,441
  5. Step 5: Solve for x
    x = 322,316,217,441/275,298.75
  6. Step 6: Final answer
    x = 1,170,787.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.