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Finding the Third Proportional to 249,910 and 544,190

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Solution

The third proportional to 249,910 and 544,190 is: 1,184,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,910 : 544,190 = 544,190 : x
  2. Step 2: Convert to fraction form
    249,910/544,190 = 544,190/x
  3. Step 3: Cross multiply
    249,910x = 544,190 × 544,190
  4. Step 4: Simplify right side
    249,910x = 296,142,756,100
  5. Step 5: Solve for x
    x = 296,142,756,100/249,910
  6. Step 6: Final answer
    x = 1,184,997.62

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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.