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Finding the Third Proportional to 249,617 and 538,597

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Solution

The third proportional to 249,617 and 538,597 is: 1,162,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,617 : 538,597 = 538,597 : x
  2. Step 2: Convert to fraction form
    249,617/538,597 = 538,597/x
  3. Step 3: Cross multiply
    249,617x = 538,597 × 538,597
  4. Step 4: Simplify right side
    249,617x = 290,086,728,409
  5. Step 5: Solve for x
    x = 290,086,728,409/249,617
  6. Step 6: Final answer
    x = 1,162,127.29

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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.