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Finding the Third Proportional to 249,484 and 544,112

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Solution

The third proportional to 249,484 and 544,112 is: 1,186,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,484 : 544,112 = 544,112 : x
  2. Step 2: Convert to fraction form
    249,484/544,112 = 544,112/x
  3. Step 3: Cross multiply
    249,484x = 544,112 × 544,112
  4. Step 4: Simplify right side
    249,484x = 296,057,868,544
  5. Step 5: Solve for x
    x = 296,057,868,544/249,484
  6. Step 6: Final answer
    x = 1,186,680.78

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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.