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Finding the Third Proportional to 455,190.75 and 707,235.75

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Solution

The third proportional to 455,190.75 and 707,235.75 is: 1,098,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,190.75 : 707,235.75 = 707,235.75 : x
  2. Step 2: Convert to fraction form
    455,190.75/707,235.75 = 707,235.75/x
  3. Step 3: Cross multiply
    455,190.75x = 707,235.75 × 707,235.75
  4. Step 4: Simplify right side
    455,190.75x = 500,182,406,078.06
  5. Step 5: Solve for x
    x = 500,182,406,078.06/455,190.75
  6. Step 6: Final answer
    x = 1,098,841.32

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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.