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Finding the Third Proportional to 333,174 and 474,840

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Solution

The third proportional to 333,174 and 474,840 is: 676,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,174 : 474,840 = 474,840 : x
  2. Step 2: Convert to fraction form
    333,174/474,840 = 474,840/x
  3. Step 3: Cross multiply
    333,174x = 474,840 × 474,840
  4. Step 4: Simplify right side
    333,174x = 225,473,025,600
  5. Step 5: Solve for x
    x = 225,473,025,600/333,174
  6. Step 6: Final answer
    x = 676,742.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.