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Finding the Third Proportional to 249,278 and 543,673

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Solution

The third proportional to 249,278 and 543,673 is: 1,185,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,278 : 543,673 = 543,673 : x
  2. Step 2: Convert to fraction form
    249,278/543,673 = 543,673/x
  3. Step 3: Cross multiply
    249,278x = 543,673 × 543,673
  4. Step 4: Simplify right side
    249,278x = 295,580,330,929
  5. Step 5: Solve for x
    x = 295,580,330,929/249,278
  6. Step 6: Final answer
    x = 1,185,745.76

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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.