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Finding the Third Proportional to 309,132 and 672,700

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Solution

The third proportional to 309,132 and 672,700 is: 1,463,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,132 : 672,700 = 672,700 : x
  2. Step 2: Convert to fraction form
    309,132/672,700 = 672,700/x
  3. Step 3: Cross multiply
    309,132x = 672,700 × 672,700
  4. Step 4: Simplify right side
    309,132x = 452,525,290,000
  5. Step 5: Solve for x
    x = 452,525,290,000/309,132
  6. Step 6: Final answer
    x = 1,463,857.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.