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Finding the Third Proportional to 234,598 and 512,203

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Solution

The third proportional to 234,598 and 512,203 is: 1,118,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,598 : 512,203 = 512,203 : x
  2. Step 2: Convert to fraction form
    234,598/512,203 = 512,203/x
  3. Step 3: Cross multiply
    234,598x = 512,203 × 512,203
  4. Step 4: Simplify right side
    234,598x = 262,351,913,209
  5. Step 5: Solve for x
    x = 262,351,913,209/234,598
  6. Step 6: Final answer
    x = 1,118,304.13

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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.