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Finding the Third Proportional to 249,216 and 538,272

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Solution

The third proportional to 249,216 and 538,272 is: 1,162,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,216 : 538,272 = 538,272 : x
  2. Step 2: Convert to fraction form
    249,216/538,272 = 538,272/x
  3. Step 3: Cross multiply
    249,216x = 538,272 × 538,272
  4. Step 4: Simplify right side
    249,216x = 289,736,745,984
  5. Step 5: Solve for x
    x = 289,736,745,984/249,216
  6. Step 6: Final answer
    x = 1,162,592.88

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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.