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Finding the Third Proportional to 185,417 and 431,345

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Solution

The third proportional to 185,417 and 431,345 is: 1,003,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,417 : 431,345 = 431,345 : x
  2. Step 2: Convert to fraction form
    185,417/431,345 = 431,345/x
  3. Step 3: Cross multiply
    185,417x = 431,345 × 431,345
  4. Step 4: Simplify right side
    185,417x = 186,058,509,025
  5. Step 5: Solve for x
    x = 186,058,509,025/185,417
  6. Step 6: Final answer
    x = 1,003,459.82

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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.