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Finding the Third Proportional to 249,627 and 538,617

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Solution

The third proportional to 249,627 and 538,617 is: 1,162,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,627 : 538,617 = 538,617 : x
  2. Step 2: Convert to fraction form
    249,627/538,617 = 538,617/x
  3. Step 3: Cross multiply
    249,627x = 538,617 × 538,617
  4. Step 4: Simplify right side
    249,627x = 290,108,272,689
  5. Step 5: Solve for x
    x = 290,108,272,689/249,627
  6. Step 6: Final answer
    x = 1,162,167.04

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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.