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Finding the Third Proportional to 333,364 and 476,364

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Solution

The third proportional to 333,364 and 476,364 is: 680,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,364 : 476,364 = 476,364 : x
  2. Step 2: Convert to fraction form
    333,364/476,364 = 476,364/x
  3. Step 3: Cross multiply
    333,364x = 476,364 × 476,364
  4. Step 4: Simplify right side
    333,364x = 226,922,660,496
  5. Step 5: Solve for x
    x = 226,922,660,496/333,364
  6. Step 6: Final answer
    x = 680,705.36

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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.