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Finding the Third Proportional to 474,392 and 738,804

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Solution

The third proportional to 474,392 and 738,804 is: 1,150,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,392 : 738,804 = 738,804 : x
  2. Step 2: Convert to fraction form
    474,392/738,804 = 738,804/x
  3. Step 3: Cross multiply
    474,392x = 738,804 × 738,804
  4. Step 4: Simplify right side
    474,392x = 545,831,350,416
  5. Step 5: Solve for x
    x = 545,831,350,416/474,392
  6. Step 6: Final answer
    x = 1,150,591.39

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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.