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Finding the Third Proportional to 312,904 and 672,980.50

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Solution

The third proportional to 312,904 and 672,980.50 is: 1,447,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,904 : 672,980.50 = 672,980.50 : x
  2. Step 2: Convert to fraction form
    312,904/672,980.50 = 672,980.50/x
  3. Step 3: Cross multiply
    312,904x = 672,980.50 × 672,980.50
  4. Step 4: Simplify right side
    312,904x = 452,902,753,380.25
  5. Step 5: Solve for x
    x = 452,902,753,380.25/312,904
  6. Step 6: Final answer
    x = 1,447,417.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.