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Finding the Third Proportional to 243,194 and 522,724

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Solution

The third proportional to 243,194 and 522,724 is: 1,123,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,194 : 522,724 = 522,724 : x
  2. Step 2: Convert to fraction form
    243,194/522,724 = 522,724/x
  3. Step 3: Cross multiply
    243,194x = 522,724 × 522,724
  4. Step 4: Simplify right side
    243,194x = 273,240,380,176
  5. Step 5: Solve for x
    x = 273,240,380,176/243,194
  6. Step 6: Final answer
    x = 1,123,549.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.