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Finding the Third Proportional to 249,275 and 540,610

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Solution

The third proportional to 249,275 and 540,610 is: 1,172,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,275 : 540,610 = 540,610 : x
  2. Step 2: Convert to fraction form
    249,275/540,610 = 540,610/x
  3. Step 3: Cross multiply
    249,275x = 540,610 × 540,610
  4. Step 4: Simplify right side
    249,275x = 292,259,172,100
  5. Step 5: Solve for x
    x = 292,259,172,100/249,275
  6. Step 6: Final answer
    x = 1,172,436.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.