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Finding the Third Proportional to 284,117.25 and 473,469.75

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Solution

The third proportional to 284,117.25 and 473,469.75 is: 789,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,117.25 : 473,469.75 = 473,469.75 : x
  2. Step 2: Convert to fraction form
    284,117.25/473,469.75 = 473,469.75/x
  3. Step 3: Cross multiply
    284,117.25x = 473,469.75 × 473,469.75
  4. Step 4: Simplify right side
    284,117.25x = 224,173,604,165.06
  5. Step 5: Solve for x
    x = 224,173,604,165.06/284,117.25
  6. Step 6: Final answer
    x = 789,017.93

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.