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Finding the Third Proportional to 249,414 and 538,764

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Solution

The third proportional to 249,414 and 538,764 is: 1,163,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,414 : 538,764 = 538,764 : x
  2. Step 2: Convert to fraction form
    249,414/538,764 = 538,764/x
  3. Step 3: Cross multiply
    249,414x = 538,764 × 538,764
  4. Step 4: Simplify right side
    249,414x = 290,266,647,696
  5. Step 5: Solve for x
    x = 290,266,647,696/249,414
  6. Step 6: Final answer
    x = 1,163,794.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.