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Finding the Third Proportional to 336,074 and 703,304

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Solution

The third proportional to 336,074 and 703,304 is: 1,471,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,074 : 703,304 = 703,304 : x
  2. Step 2: Convert to fraction form
    336,074/703,304 = 703,304/x
  3. Step 3: Cross multiply
    336,074x = 703,304 × 703,304
  4. Step 4: Simplify right side
    336,074x = 494,636,516,416
  5. Step 5: Solve for x
    x = 494,636,516,416/336,074
  6. Step 6: Final answer
    x = 1,471,808.34

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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.