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Finding the Third Proportional to 284,248 and 473,724

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Solution

The third proportional to 284,248 and 473,724 is: 789,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,248 : 473,724 = 473,724 : x
  2. Step 2: Convert to fraction form
    284,248/473,724 = 473,724/x
  3. Step 3: Cross multiply
    284,248x = 473,724 × 473,724
  4. Step 4: Simplify right side
    284,248x = 224,414,428,176
  5. Step 5: Solve for x
    x = 224,414,428,176/284,248
  6. Step 6: Final answer
    x = 789,502.22

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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.