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Finding the Third Proportional to 249,909 and 544,188

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Solution

The third proportional to 249,909 and 544,188 is: 1,184,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,909 : 544,188 = 544,188 : x
  2. Step 2: Convert to fraction form
    249,909/544,188 = 544,188/x
  3. Step 3: Cross multiply
    249,909x = 544,188 × 544,188
  4. Step 4: Simplify right side
    249,909x = 296,140,579,344
  5. Step 5: Solve for x
    x = 296,140,579,344/249,909
  6. Step 6: Final answer
    x = 1,184,993.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.