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Finding the Third Proportional to 452,961 and 700,458.75

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Solution

The third proportional to 452,961 and 700,458.75 is: 1,083,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,961 : 700,458.75 = 700,458.75 : x
  2. Step 2: Convert to fraction form
    452,961/700,458.75 = 700,458.75/x
  3. Step 3: Cross multiply
    452,961x = 700,458.75 × 700,458.75
  4. Step 4: Simplify right side
    452,961x = 490,642,460,451.56
  5. Step 5: Solve for x
    x = 490,642,460,451.56/452,961
  6. Step 6: Final answer
    x = 1,083,189.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.