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Finding the Third Proportional to 249,147 and 544,662

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Solution

The third proportional to 249,147 and 544,662 is: 1,190,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,147 : 544,662 = 544,662 : x
  2. Step 2: Convert to fraction form
    249,147/544,662 = 544,662/x
  3. Step 3: Cross multiply
    249,147x = 544,662 × 544,662
  4. Step 4: Simplify right side
    249,147x = 296,656,694,244
  5. Step 5: Solve for x
    x = 296,656,694,244/249,147
  6. Step 6: Final answer
    x = 1,190,689.41

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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.