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Finding the Third Proportional to 474,222 and 711,351

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Solution

The third proportional to 474,222 and 711,351 is: 1,067,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,222 : 711,351 = 711,351 : x
  2. Step 2: Convert to fraction form
    474,222/711,351 = 711,351/x
  3. Step 3: Cross multiply
    474,222x = 711,351 × 711,351
  4. Step 4: Simplify right side
    474,222x = 506,020,245,201
  5. Step 5: Solve for x
    x = 506,020,245,201/474,222
  6. Step 6: Final answer
    x = 1,067,053.50

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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.