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Finding the Third Proportional to 474,394 and 738,807

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Solution

The third proportional to 474,394 and 738,807 is: 1,150,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,394 : 738,807 = 738,807 : x
  2. Step 2: Convert to fraction form
    474,394/738,807 = 738,807/x
  3. Step 3: Cross multiply
    474,394x = 738,807 × 738,807
  4. Step 4: Simplify right side
    474,394x = 545,835,783,249
  5. Step 5: Solve for x
    x = 545,835,783,249/474,394
  6. Step 6: Final answer
    x = 1,150,595.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.