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Finding the Third Proportional to 470,744 and 696,972

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Solution

The third proportional to 470,744 and 696,972 is: 1,031,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,744 : 696,972 = 696,972 : x
  2. Step 2: Convert to fraction form
    470,744/696,972 = 696,972/x
  3. Step 3: Cross multiply
    470,744x = 696,972 × 696,972
  4. Step 4: Simplify right side
    470,744x = 485,769,968,784
  5. Step 5: Solve for x
    x = 485,769,968,784/470,744
  6. Step 6: Final answer
    x = 1,031,919.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.