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Finding the Third Proportional to 284,166 and 424,304

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Solution

The third proportional to 284,166 and 424,304 is: 633,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,166 : 424,304 = 424,304 : x
  2. Step 2: Convert to fraction form
    284,166/424,304 = 424,304/x
  3. Step 3: Cross multiply
    284,166x = 424,304 × 424,304
  4. Step 4: Simplify right side
    284,166x = 180,033,884,416
  5. Step 5: Solve for x
    x = 180,033,884,416/284,166
  6. Step 6: Final answer
    x = 633,551.81

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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.