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Finding the Third Proportional to 249,450 and 513,606

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Solution

The third proportional to 249,450 and 513,606 is: 1,057,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,450 : 513,606 = 513,606 : x
  2. Step 2: Convert to fraction form
    249,450/513,606 = 513,606/x
  3. Step 3: Cross multiply
    249,450x = 513,606 × 513,606
  4. Step 4: Simplify right side
    249,450x = 263,791,123,236
  5. Step 5: Solve for x
    x = 263,791,123,236/249,450
  6. Step 6: Final answer
    x = 1,057,490.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.