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Finding the Third Proportional to 413,327 and 585,018

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Solution

The third proportional to 413,327 and 585,018 is: 828,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,327 : 585,018 = 585,018 : x
  2. Step 2: Convert to fraction form
    413,327/585,018 = 585,018/x
  3. Step 3: Cross multiply
    413,327x = 585,018 × 585,018
  4. Step 4: Simplify right side
    413,327x = 342,246,060,324
  5. Step 5: Solve for x
    x = 342,246,060,324/413,327
  6. Step 6: Final answer
    x = 828,027.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.