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Finding the Third Proportional to 336,825 and 737,046

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Solution

The third proportional to 336,825 and 737,046 is: 1,612,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,825 : 737,046 = 737,046 : x
  2. Step 2: Convert to fraction form
    336,825/737,046 = 737,046/x
  3. Step 3: Cross multiply
    336,825x = 737,046 × 737,046
  4. Step 4: Simplify right side
    336,825x = 543,236,806,116
  5. Step 5: Solve for x
    x = 543,236,806,116/336,825
  6. Step 6: Final answer
    x = 1,612,816.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.