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Finding the Third Proportional to 336,102 and 703,362

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Solution

The third proportional to 336,102 and 703,362 is: 1,471,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,102 : 703,362 = 703,362 : x
  2. Step 2: Convert to fraction form
    336,102/703,362 = 703,362/x
  3. Step 3: Cross multiply
    336,102x = 703,362 × 703,362
  4. Step 4: Simplify right side
    336,102x = 494,718,103,044
  5. Step 5: Solve for x
    x = 494,718,103,044/336,102
  6. Step 6: Final answer
    x = 1,471,928.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.