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Finding the Third Proportional to 284,172 and 424,308

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Solution

The third proportional to 284,172 and 424,308 is: 633,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,172 : 424,308 = 424,308 : x
  2. Step 2: Convert to fraction form
    284,172/424,308 = 424,308/x
  3. Step 3: Cross multiply
    284,172x = 424,308 × 424,308
  4. Step 4: Simplify right side
    284,172x = 180,037,278,864
  5. Step 5: Solve for x
    x = 180,037,278,864/284,172
  6. Step 6: Final answer
    x = 633,550.38

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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.