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Finding the Third Proportional to 336,076 and 703,312

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Solution

The third proportional to 336,076 and 703,312 is: 1,471,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,076 : 703,312 = 703,312 : x
  2. Step 2: Convert to fraction form
    336,076/703,312 = 703,312/x
  3. Step 3: Cross multiply
    336,076x = 703,312 × 703,312
  4. Step 4: Simplify right side
    336,076x = 494,647,769,344
  5. Step 5: Solve for x
    x = 494,647,769,344/336,076
  6. Step 6: Final answer
    x = 1,471,833.07

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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.