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Finding the Third Proportional to 333,135 and 474,784

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Solution

The third proportional to 333,135 and 474,784 is: 676,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,135 : 474,784 = 474,784 : x
  2. Step 2: Convert to fraction form
    333,135/474,784 = 474,784/x
  3. Step 3: Cross multiply
    333,135x = 474,784 × 474,784
  4. Step 4: Simplify right side
    333,135x = 225,419,846,656
  5. Step 5: Solve for x
    x = 225,419,846,656/333,135
  6. Step 6: Final answer
    x = 676,662.15

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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.