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Finding the Third Proportional to 284,396.50 and 603,785

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Solution

The third proportional to 284,396.50 and 603,785 is: 1,281,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,396.50 : 603,785 = 603,785 : x
  2. Step 2: Convert to fraction form
    284,396.50/603,785 = 603,785/x
  3. Step 3: Cross multiply
    284,396.50x = 603,785 × 603,785
  4. Step 4: Simplify right side
    284,396.50x = 364,556,326,225
  5. Step 5: Solve for x
    x = 364,556,326,225/284,396.50
  6. Step 6: Final answer
    x = 1,281,859.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.