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Finding the Third Proportional to 474,217 and 711,332

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Solution

The third proportional to 474,217 and 711,332 is: 1,067,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,217 : 711,332 = 711,332 : x
  2. Step 2: Convert to fraction form
    474,217/711,332 = 711,332/x
  3. Step 3: Cross multiply
    474,217x = 711,332 × 711,332
  4. Step 4: Simplify right side
    474,217x = 505,993,214,224
  5. Step 5: Solve for x
    x = 505,993,214,224/474,217
  6. Step 6: Final answer
    x = 1,067,007.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.