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Finding the Third Proportional to 323,572 and 474,774

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Solution

The third proportional to 323,572 and 474,774 is: 696,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,572 : 474,774 = 474,774 : x
  2. Step 2: Convert to fraction form
    323,572/474,774 = 474,774/x
  3. Step 3: Cross multiply
    323,572x = 474,774 × 474,774
  4. Step 4: Simplify right side
    323,572x = 225,410,351,076
  5. Step 5: Solve for x
    x = 225,410,351,076/323,572
  6. Step 6: Final answer
    x = 696,631.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.