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Finding the Third Proportional to 249,616.50 and 538,596

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Solution

The third proportional to 249,616.50 and 538,596 is: 1,162,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,616.50 : 538,596 = 538,596 : x
  2. Step 2: Convert to fraction form
    249,616.50/538,596 = 538,596/x
  3. Step 3: Cross multiply
    249,616.50x = 538,596 × 538,596
  4. Step 4: Simplify right side
    249,616.50x = 290,085,651,216
  5. Step 5: Solve for x
    x = 290,085,651,216/249,616.50
  6. Step 6: Final answer
    x = 1,162,125.31

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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.