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Finding the Third Proportional to 249,464 and 513,634

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Solution

The third proportional to 249,464 and 513,634 is: 1,057,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,464 : 513,634 = 513,634 : x
  2. Step 2: Convert to fraction form
    249,464/513,634 = 513,634/x
  3. Step 3: Cross multiply
    249,464x = 513,634 × 513,634
  4. Step 4: Simplify right side
    249,464x = 263,819,885,956
  5. Step 5: Solve for x
    x = 263,819,885,956/249,464
  6. Step 6: Final answer
    x = 1,057,546.92

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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.