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Finding the Third Proportional to 249,380.86 and 540,436.22

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Solution

The third proportional to 249,380.86 and 540,436.22 is: 1,171,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,380.86 : 540,436.22 = 540,436.22 : x
  2. Step 2: Convert to fraction form
    249,380.86/540,436.22 = 540,436.22/x
  3. Step 3: Cross multiply
    249,380.86x = 540,436.22 × 540,436.22
  4. Step 4: Simplify right side
    249,380.86x = 292,071,306,536.80
  5. Step 5: Solve for x
    x = 292,071,306,536.80/249,380.86
  6. Step 6: Final answer
    x = 1,171,185.74

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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.