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Finding the Third Proportional to 284,125.50 and 473,481

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Solution

The third proportional to 284,125.50 and 473,481 is: 789,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,125.50 : 473,481 = 473,481 : x
  2. Step 2: Convert to fraction form
    284,125.50/473,481 = 473,481/x
  3. Step 3: Cross multiply
    284,125.50x = 473,481 × 473,481
  4. Step 4: Simplify right side
    284,125.50x = 224,184,257,361
  5. Step 5: Solve for x
    x = 224,184,257,361/284,125.50
  6. Step 6: Final answer
    x = 789,032.51

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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.