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Finding the Third Proportional to 474,254 and 723,423

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Solution

The third proportional to 474,254 and 723,423 is: 1,103,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,254 : 723,423 = 723,423 : x
  2. Step 2: Convert to fraction form
    474,254/723,423 = 723,423/x
  3. Step 3: Cross multiply
    474,254x = 723,423 × 723,423
  4. Step 4: Simplify right side
    474,254x = 523,340,836,929
  5. Step 5: Solve for x
    x = 523,340,836,929/474,254
  6. Step 6: Final answer
    x = 1,103,503.26

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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.