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Finding the Third Proportional to 249,226 and 548,294

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Solution

The third proportional to 249,226 and 548,294 is: 1,206,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,226 : 548,294 = 548,294 : x
  2. Step 2: Convert to fraction form
    249,226/548,294 = 548,294/x
  3. Step 3: Cross multiply
    249,226x = 548,294 × 548,294
  4. Step 4: Simplify right side
    249,226x = 300,626,310,436
  5. Step 5: Solve for x
    x = 300,626,310,436/249,226
  6. Step 6: Final answer
    x = 1,206,239.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.