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Finding the Third Proportional to 284,237 and 611,484

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Solution

The third proportional to 284,237 and 611,484 is: 1,315,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,237 : 611,484 = 611,484 : x
  2. Step 2: Convert to fraction form
    284,237/611,484 = 611,484/x
  3. Step 3: Cross multiply
    284,237x = 611,484 × 611,484
  4. Step 4: Simplify right side
    284,237x = 373,912,682,256
  5. Step 5: Solve for x
    x = 373,912,682,256/284,237
  6. Step 6: Final answer
    x = 1,315,496.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.