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Finding the Third Proportional to 280,058 and 614,548

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Solution

The third proportional to 280,058 and 614,548 is: 1,348,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,058 : 614,548 = 614,548 : x
  2. Step 2: Convert to fraction form
    280,058/614,548 = 614,548/x
  3. Step 3: Cross multiply
    280,058x = 614,548 × 614,548
  4. Step 4: Simplify right side
    280,058x = 377,669,244,304
  5. Step 5: Solve for x
    x = 377,669,244,304/280,058
  6. Step 6: Final answer
    x = 1,348,539.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.