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Finding the Third Proportional to 249,274 and 540,608

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Solution

The third proportional to 249,274 and 540,608 is: 1,172,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,274 : 540,608 = 540,608 : x
  2. Step 2: Convert to fraction form
    249,274/540,608 = 540,608/x
  3. Step 3: Cross multiply
    249,274x = 540,608 × 540,608
  4. Step 4: Simplify right side
    249,274x = 292,257,009,664
  5. Step 5: Solve for x
    x = 292,257,009,664/249,274
  6. Step 6: Final answer
    x = 1,172,432.78

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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.