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Finding the Third Proportional to 474,226 and 711,356

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Solution

The third proportional to 474,226 and 711,356 is: 1,067,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,226 : 711,356 = 711,356 : x
  2. Step 2: Convert to fraction form
    474,226/711,356 = 711,356/x
  3. Step 3: Cross multiply
    474,226x = 711,356 × 711,356
  4. Step 4: Simplify right side
    474,226x = 506,027,358,736
  5. Step 5: Solve for x
    x = 506,027,358,736/474,226
  6. Step 6: Final answer
    x = 1,067,059.50

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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.