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Finding the Third Proportional to 219,952 and 471,008

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Solution

The third proportional to 219,952 and 471,008 is: 1,008,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,952 : 471,008 = 471,008 : x
  2. Step 2: Convert to fraction form
    219,952/471,008 = 471,008/x
  3. Step 3: Cross multiply
    219,952x = 471,008 × 471,008
  4. Step 4: Simplify right side
    219,952x = 221,848,536,064
  5. Step 5: Solve for x
    x = 221,848,536,064/219,952
  6. Step 6: Final answer
    x = 1,008,622.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.