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Finding the Third Proportional to 249,614 and 538,592

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Solution

The third proportional to 249,614 and 538,592 is: 1,162,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,614 : 538,592 = 538,592 : x
  2. Step 2: Convert to fraction form
    249,614/538,592 = 538,592/x
  3. Step 3: Cross multiply
    249,614x = 538,592 × 538,592
  4. Step 4: Simplify right side
    249,614x = 290,081,342,464
  5. Step 5: Solve for x
    x = 290,081,342,464/249,614
  6. Step 6: Final answer
    x = 1,162,119.68

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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.