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Finding the Third Proportional to 232,058 and 506,724

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Solution

The third proportional to 232,058 and 506,724 is: 1,106,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,058 : 506,724 = 506,724 : x
  2. Step 2: Convert to fraction form
    232,058/506,724 = 506,724/x
  3. Step 3: Cross multiply
    232,058x = 506,724 × 506,724
  4. Step 4: Simplify right side
    232,058x = 256,769,212,176
  5. Step 5: Solve for x
    x = 256,769,212,176/232,058
  6. Step 6: Final answer
    x = 1,106,487.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.