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Finding the Third Proportional to 316,945.41 and 704,755.69

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Solution

The third proportional to 316,945.41 and 704,755.69 is: 1,567,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,945.41 : 704,755.69 = 704,755.69 : x
  2. Step 2: Convert to fraction form
    316,945.41/704,755.69 = 704,755.69/x
  3. Step 3: Cross multiply
    316,945.41x = 704,755.69 × 704,755.69
  4. Step 4: Simplify right side
    316,945.41x = 496,680,579,063.60
  5. Step 5: Solve for x
    x = 496,680,579,063.60/316,945.41
  6. Step 6: Final answer
    x = 1,567,085.59

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.