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Finding the Third Proportional to 219,485 and 471,715

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Solution

The third proportional to 219,485 and 471,715 is: 1,013,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,485 : 471,715 = 471,715 : x
  2. Step 2: Convert to fraction form
    219,485/471,715 = 471,715/x
  3. Step 3: Cross multiply
    219,485x = 471,715 × 471,715
  4. Step 4: Simplify right side
    219,485x = 222,515,041,225
  5. Step 5: Solve for x
    x = 222,515,041,225/219,485
  6. Step 6: Final answer
    x = 1,013,805.23

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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.