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Finding the Third Proportional to 284,184 and 424,326

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Solution

The third proportional to 284,184 and 424,326 is: 633,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,184 : 424,326 = 424,326 : x
  2. Step 2: Convert to fraction form
    284,184/424,326 = 424,326/x
  3. Step 3: Cross multiply
    284,184x = 424,326 × 424,326
  4. Step 4: Simplify right side
    284,184x = 180,052,554,276
  5. Step 5: Solve for x
    x = 180,052,554,276/284,184
  6. Step 6: Final answer
    x = 633,577.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.