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Finding the Third Proportional to 455,645.25 and 707,342.63

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Solution

The third proportional to 455,645.25 and 707,342.63 is: 1,098,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,645.25 : 707,342.63 = 707,342.63 : x
  2. Step 2: Convert to fraction form
    455,645.25/707,342.63 = 707,342.63/x
  3. Step 3: Cross multiply
    455,645.25x = 707,342.63 × 707,342.63
  4. Step 4: Simplify right side
    455,645.25x = 500,333,589,141.89
  5. Step 5: Solve for x
    x = 500,333,589,141.89/455,645.25
  6. Step 6: Final answer
    x = 1,098,077.04

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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.