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Finding the Third Proportional to 249,261 and 548,365

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Solution

The third proportional to 249,261 and 548,365 is: 1,206,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,261 : 548,365 = 548,365 : x
  2. Step 2: Convert to fraction form
    249,261/548,365 = 548,365/x
  3. Step 3: Cross multiply
    249,261x = 548,365 × 548,365
  4. Step 4: Simplify right side
    249,261x = 300,704,173,225
  5. Step 5: Solve for x
    x = 300,704,173,225/249,261
  6. Step 6: Final answer
    x = 1,206,382.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.