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Finding the Third Proportional to 284,144 and 473,508

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Solution

The third proportional to 284,144 and 473,508 is: 789,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,144 : 473,508 = 473,508 : x
  2. Step 2: Convert to fraction form
    284,144/473,508 = 473,508/x
  3. Step 3: Cross multiply
    284,144x = 473,508 × 473,508
  4. Step 4: Simplify right side
    284,144x = 224,209,826,064
  5. Step 5: Solve for x
    x = 224,209,826,064/284,144
  6. Step 6: Final answer
    x = 789,071.13

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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.