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Finding the Third Proportional to 288,246 and 673,263

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Solution

The third proportional to 288,246 and 673,263 is: 1,572,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,246 : 673,263 = 673,263 : x
  2. Step 2: Convert to fraction form
    288,246/673,263 = 673,263/x
  3. Step 3: Cross multiply
    288,246x = 673,263 × 673,263
  4. Step 4: Simplify right side
    288,246x = 453,283,067,169
  5. Step 5: Solve for x
    x = 453,283,067,169/288,246
  6. Step 6: Final answer
    x = 1,572,556.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.