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Finding the Third Proportional to 249,768 and 543,872

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Solution

The third proportional to 249,768 and 543,872 is: 1,184,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,768 : 543,872 = 543,872 : x
  2. Step 2: Convert to fraction form
    249,768/543,872 = 543,872/x
  3. Step 3: Cross multiply
    249,768x = 543,872 × 543,872
  4. Step 4: Simplify right side
    249,768x = 295,796,752,384
  5. Step 5: Solve for x
    x = 295,796,752,384/249,768
  6. Step 6: Final answer
    x = 1,184,286.03

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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.