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Finding the Third Proportional to 275,298 and 403,848.75

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Solution

The third proportional to 275,298 and 403,848.75 is: 592,426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,298 : 403,848.75 = 403,848.75 : x
  2. Step 2: Convert to fraction form
    275,298/403,848.75 = 403,848.75/x
  3. Step 3: Cross multiply
    275,298x = 403,848.75 × 403,848.75
  4. Step 4: Simplify right side
    275,298x = 163,093,812,876.56
  5. Step 5: Solve for x
    x = 163,093,812,876.56/275,298
  6. Step 6: Final answer
    x = 592,426.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.