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Finding the Third Proportional to 292,214 and 682,724

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Solution

The third proportional to 292,214 and 682,724 is: 1,595,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,214 : 682,724 = 682,724 : x
  2. Step 2: Convert to fraction form
    292,214/682,724 = 682,724/x
  3. Step 3: Cross multiply
    292,214x = 682,724 × 682,724
  4. Step 4: Simplify right side
    292,214x = 466,112,060,176
  5. Step 5: Solve for x
    x = 466,112,060,176/292,214
  6. Step 6: Final answer
    x = 1,595,105.16

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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.