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Finding the Third Proportional to 474,262 and 723,438

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Solution

The third proportional to 474,262 and 723,438 is: 1,103,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,262 : 723,438 = 723,438 : x
  2. Step 2: Convert to fraction form
    474,262/723,438 = 723,438/x
  3. Step 3: Cross multiply
    474,262x = 723,438 × 723,438
  4. Step 4: Simplify right side
    474,262x = 523,362,539,844
  5. Step 5: Solve for x
    x = 523,362,539,844/474,262
  6. Step 6: Final answer
    x = 1,103,530.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.