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Finding the Third Proportional to 333,367.50 and 706,408.13

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Solution

The third proportional to 333,367.50 and 706,408.13 is: 1,496,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,367.50 : 706,408.13 = 706,408.13 : x
  2. Step 2: Convert to fraction form
    333,367.50/706,408.13 = 706,408.13/x
  3. Step 3: Cross multiply
    333,367.50x = 706,408.13 × 706,408.13
  4. Step 4: Simplify right side
    333,367.50x = 499,012,439,066.02
  5. Step 5: Solve for x
    x = 499,012,439,066.02/333,367.50
  6. Step 6: Final answer
    x = 1,496,883.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.