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Finding the Third Proportional to 401,482 and 587,145

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Solution

The third proportional to 401,482 and 587,145 is: 858,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,482 : 587,145 = 587,145 : x
  2. Step 2: Convert to fraction form
    401,482/587,145 = 587,145/x
  3. Step 3: Cross multiply
    401,482x = 587,145 × 587,145
  4. Step 4: Simplify right side
    401,482x = 344,739,251,025
  5. Step 5: Solve for x
    x = 344,739,251,025/401,482
  6. Step 6: Final answer
    x = 858,666.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.