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Finding the Third Proportional to 284,841 and 428,184

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Solution

The third proportional to 284,841 and 428,184 is: 643,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,841 : 428,184 = 428,184 : x
  2. Step 2: Convert to fraction form
    284,841/428,184 = 428,184/x
  3. Step 3: Cross multiply
    284,841x = 428,184 × 428,184
  4. Step 4: Simplify right side
    284,841x = 183,341,537,856
  5. Step 5: Solve for x
    x = 183,341,537,856/284,841
  6. Step 6: Final answer
    x = 643,662.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.