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Finding the Third Proportional to 311,784.19 and 671,646.94

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Solution

The third proportional to 311,784.19 and 671,646.94 is: 1,446,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,784.19 : 671,646.94 = 671,646.94 : x
  2. Step 2: Convert to fraction form
    311,784.19/671,646.94 = 671,646.94/x
  3. Step 3: Cross multiply
    311,784.19x = 671,646.94 × 671,646.94
  4. Step 4: Simplify right side
    311,784.19x = 451,109,608,653.13
  5. Step 5: Solve for x
    x = 451,109,608,653.13/311,784.19
  6. Step 6: Final answer
    x = 1,446,864.94

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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.