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Finding the Third Proportional to 284,454 and 613,737

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Solution

The third proportional to 284,454 and 613,737 is: 1,324,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,454 : 613,737 = 613,737 : x
  2. Step 2: Convert to fraction form
    284,454/613,737 = 613,737/x
  3. Step 3: Cross multiply
    284,454x = 613,737 × 613,737
  4. Step 4: Simplify right side
    284,454x = 376,673,105,169
  5. Step 5: Solve for x
    x = 376,673,105,169/284,454
  6. Step 6: Final answer
    x = 1,324,196.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.