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Finding the Third Proportional to 249,906 and 544,182

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Solution

The third proportional to 249,906 and 544,182 is: 1,184,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,906 : 544,182 = 544,182 : x
  2. Step 2: Convert to fraction form
    249,906/544,182 = 544,182/x
  3. Step 3: Cross multiply
    249,906x = 544,182 × 544,182
  4. Step 4: Simplify right side
    249,906x = 296,134,049,124
  5. Step 5: Solve for x
    x = 296,134,049,124/249,906
  6. Step 6: Final answer
    x = 1,184,981.75

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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.