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Finding the Third Proportional to 194,031 and 416,412

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Solution

The third proportional to 194,031 and 416,412 is: 893,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,031 : 416,412 = 416,412 : x
  2. Step 2: Convert to fraction form
    194,031/416,412 = 416,412/x
  3. Step 3: Cross multiply
    194,031x = 416,412 × 416,412
  4. Step 4: Simplify right side
    194,031x = 173,398,953,744
  5. Step 5: Solve for x
    x = 173,398,953,744/194,031
  6. Step 6: Final answer
    x = 893,666.24

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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.