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Finding the Third Proportional to 255,982 and 558,548

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Solution

The third proportional to 255,982 and 558,548 is: 1,218,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,982 : 558,548 = 558,548 : x
  2. Step 2: Convert to fraction form
    255,982/558,548 = 558,548/x
  3. Step 3: Cross multiply
    255,982x = 558,548 × 558,548
  4. Step 4: Simplify right side
    255,982x = 311,975,868,304
  5. Step 5: Solve for x
    x = 311,975,868,304/255,982
  6. Step 6: Final answer
    x = 1,218,741.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.