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Finding the Third Proportional to 275,304 and 403,857.75

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Solution

The third proportional to 275,304 and 403,857.75 is: 592,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,304 : 403,857.75 = 403,857.75 : x
  2. Step 2: Convert to fraction form
    275,304/403,857.75 = 403,857.75/x
  3. Step 3: Cross multiply
    275,304x = 403,857.75 × 403,857.75
  4. Step 4: Simplify right side
    275,304x = 163,101,082,235.06
  5. Step 5: Solve for x
    x = 163,101,082,235.06/275,304
  6. Step 6: Final answer
    x = 592,439.93

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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.