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Finding the Third Proportional to 333,184 and 474,853

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Solution

The third proportional to 333,184 and 474,853 is: 676,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,184 : 474,853 = 474,853 : x
  2. Step 2: Convert to fraction form
    333,184/474,853 = 474,853/x
  3. Step 3: Cross multiply
    333,184x = 474,853 × 474,853
  4. Step 4: Simplify right side
    333,184x = 225,485,371,609
  5. Step 5: Solve for x
    x = 225,485,371,609/333,184
  6. Step 6: Final answer
    x = 676,759.30

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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.