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Finding the Third Proportional to 333,864 and 731,700

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Solution

The third proportional to 333,864 and 731,700 is: 1,603,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,864 : 731,700 = 731,700 : x
  2. Step 2: Convert to fraction form
    333,864/731,700 = 731,700/x
  3. Step 3: Cross multiply
    333,864x = 731,700 × 731,700
  4. Step 4: Simplify right side
    333,864x = 535,384,890,000
  5. Step 5: Solve for x
    x = 535,384,890,000/333,864
  6. Step 6: Final answer
    x = 1,603,601.74

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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.