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Finding the Third Proportional to 474,225 and 711,347

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Solution

The third proportional to 474,225 and 711,347 is: 1,067,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,225 : 711,347 = 711,347 : x
  2. Step 2: Convert to fraction form
    474,225/711,347 = 711,347/x
  3. Step 3: Cross multiply
    474,225x = 711,347 × 711,347
  4. Step 4: Simplify right side
    474,225x = 506,014,554,409
  5. Step 5: Solve for x
    x = 506,014,554,409/474,225
  6. Step 6: Final answer
    x = 1,067,034.75

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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.