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Finding the Third Proportional to 333,176 and 474,842

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Solution

The third proportional to 333,176 and 474,842 is: 676,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,176 : 474,842 = 474,842 : x
  2. Step 2: Convert to fraction form
    333,176/474,842 = 474,842/x
  3. Step 3: Cross multiply
    333,176x = 474,842 × 474,842
  4. Step 4: Simplify right side
    333,176x = 225,474,924,964
  5. Step 5: Solve for x
    x = 225,474,924,964/333,176
  6. Step 6: Final answer
    x = 676,744.20

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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.