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Finding the Third Proportional to 474,223 and 711,344

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Solution

The third proportional to 474,223 and 711,344 is: 1,067,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,223 : 711,344 = 711,344 : x
  2. Step 2: Convert to fraction form
    474,223/711,344 = 711,344/x
  3. Step 3: Cross multiply
    474,223x = 711,344 × 711,344
  4. Step 4: Simplify right side
    474,223x = 506,010,286,336
  5. Step 5: Solve for x
    x = 506,010,286,336/474,223
  6. Step 6: Final answer
    x = 1,067,030.25

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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.