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Finding the Third Proportional to 352,740 and 775,464

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Solution

The third proportional to 352,740 and 775,464 is: 1,704,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,740 : 775,464 = 775,464 : x
  2. Step 2: Convert to fraction form
    352,740/775,464 = 775,464/x
  3. Step 3: Cross multiply
    352,740x = 775,464 × 775,464
  4. Step 4: Simplify right side
    352,740x = 601,344,415,296
  5. Step 5: Solve for x
    x = 601,344,415,296/352,740
  6. Step 6: Final answer
    x = 1,704,780.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.