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Finding the Third Proportional to 219,316 and 471,896

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Solution

The third proportional to 219,316 and 471,896 is: 1,015,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,316 : 471,896 = 471,896 : x
  2. Step 2: Convert to fraction form
    219,316/471,896 = 471,896/x
  3. Step 3: Cross multiply
    219,316x = 471,896 × 471,896
  4. Step 4: Simplify right side
    219,316x = 222,685,834,816
  5. Step 5: Solve for x
    x = 222,685,834,816/219,316
  6. Step 6: Final answer
    x = 1,015,365.20

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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.