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Finding the Third Proportional to 401,527 and 587,184

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Solution

The third proportional to 401,527 and 587,184 is: 858,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,527 : 587,184 = 587,184 : x
  2. Step 2: Convert to fraction form
    401,527/587,184 = 587,184/x
  3. Step 3: Cross multiply
    401,527x = 587,184 × 587,184
  4. Step 4: Simplify right side
    401,527x = 344,785,049,856
  5. Step 5: Solve for x
    x = 344,785,049,856/401,527
  6. Step 6: Final answer
    x = 858,684.60

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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.