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Finding the Third Proportional to 193,521 and 410,532

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Solution

The third proportional to 193,521 and 410,532 is: 870,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,521 : 410,532 = 410,532 : x
  2. Step 2: Convert to fraction form
    193,521/410,532 = 410,532/x
  3. Step 3: Cross multiply
    193,521x = 410,532 × 410,532
  4. Step 4: Simplify right side
    193,521x = 168,536,523,024
  5. Step 5: Solve for x
    x = 168,536,523,024/193,521
  6. Step 6: Final answer
    x = 870,895.27

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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.