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Finding the Third Proportional to 249,256 and 543,625

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Solution

The third proportional to 249,256 and 543,625 is: 1,185,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,256 : 543,625 = 543,625 : x
  2. Step 2: Convert to fraction form
    249,256/543,625 = 543,625/x
  3. Step 3: Cross multiply
    249,256x = 543,625 × 543,625
  4. Step 4: Simplify right side
    249,256x = 295,528,140,625
  5. Step 5: Solve for x
    x = 295,528,140,625/249,256
  6. Step 6: Final answer
    x = 1,185,641.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.