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Finding the Third Proportional to 249,789 and 380,940.75

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Solution

The third proportional to 249,789 and 380,940.75 is: 580,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,789 : 380,940.75 = 380,940.75 : x
  2. Step 2: Convert to fraction form
    249,789/380,940.75 = 380,940.75/x
  3. Step 3: Cross multiply
    249,789x = 380,940.75 × 380,940.75
  4. Step 4: Simplify right side
    249,789x = 145,115,855,010.56
  5. Step 5: Solve for x
    x = 145,115,855,010.56/249,789
  6. Step 6: Final answer
    x = 580,953.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.