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Finding the Third Proportional to 284,156 and 473,526

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Solution

The third proportional to 284,156 and 473,526 is: 789,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,156 : 473,526 = 473,526 : x
  2. Step 2: Convert to fraction form
    284,156/473,526 = 473,526/x
  3. Step 3: Cross multiply
    284,156x = 473,526 × 473,526
  4. Step 4: Simplify right side
    284,156x = 224,226,872,676
  5. Step 5: Solve for x
    x = 224,226,872,676/284,156
  6. Step 6: Final answer
    x = 789,097.79

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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.