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Finding the Third Proportional to 292,182 and 606,828

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Solution

The third proportional to 292,182 and 606,828 is: 1,260,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,182 : 606,828 = 606,828 : x
  2. Step 2: Convert to fraction form
    292,182/606,828 = 606,828/x
  3. Step 3: Cross multiply
    292,182x = 606,828 × 606,828
  4. Step 4: Simplify right side
    292,182x = 368,240,221,584
  5. Step 5: Solve for x
    x = 368,240,221,584/292,182
  6. Step 6: Final answer
    x = 1,260,311.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.