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Finding the Third Proportional to 185,421 and 431,355

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Solution

The third proportional to 185,421 and 431,355 is: 1,003,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,421 : 431,355 = 431,355 : x
  2. Step 2: Convert to fraction form
    185,421/431,355 = 431,355/x
  3. Step 3: Cross multiply
    185,421x = 431,355 × 431,355
  4. Step 4: Simplify right side
    185,421x = 186,067,136,025
  5. Step 5: Solve for x
    x = 186,067,136,025/185,421
  6. Step 6: Final answer
    x = 1,003,484.70

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.