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Finding the Third Proportional to 284,057 and 611,030

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Solution

The third proportional to 284,057 and 611,030 is: 1,314,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,057 : 611,030 = 611,030 : x
  2. Step 2: Convert to fraction form
    284,057/611,030 = 611,030/x
  3. Step 3: Cross multiply
    284,057x = 611,030 × 611,030
  4. Step 4: Simplify right side
    284,057x = 373,357,660,900
  5. Step 5: Solve for x
    x = 373,357,660,900/284,057
  6. Step 6: Final answer
    x = 1,314,375.85

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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.