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Finding the Third Proportional to 193,564 and 416,789

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Solution

The third proportional to 193,564 and 416,789 is: 897,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,564 : 416,789 = 416,789 : x
  2. Step 2: Convert to fraction form
    193,564/416,789 = 416,789/x
  3. Step 3: Cross multiply
    193,564x = 416,789 × 416,789
  4. Step 4: Simplify right side
    193,564x = 173,713,070,521
  5. Step 5: Solve for x
    x = 173,713,070,521/193,564
  6. Step 6: Final answer
    x = 897,445.14

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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.