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Finding the Third Proportional to 249,903 and 548,440

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Solution

The third proportional to 249,903 and 548,440 is: 1,203,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,903 : 548,440 = 548,440 : x
  2. Step 2: Convert to fraction form
    249,903/548,440 = 548,440/x
  3. Step 3: Cross multiply
    249,903x = 548,440 × 548,440
  4. Step 4: Simplify right side
    249,903x = 300,786,433,600
  5. Step 5: Solve for x
    x = 300,786,433,600/249,903
  6. Step 6: Final answer
    x = 1,203,612.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.