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Finding the Third Proportional to 204,058 and 432,818

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Solution

The third proportional to 204,058 and 432,818 is: 918,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,058 : 432,818 = 432,818 : x
  2. Step 2: Convert to fraction form
    204,058/432,818 = 432,818/x
  3. Step 3: Cross multiply
    204,058x = 432,818 × 432,818
  4. Step 4: Simplify right side
    204,058x = 187,331,421,124
  5. Step 5: Solve for x
    x = 187,331,421,124/204,058
  6. Step 6: Final answer
    x = 918,030.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.