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Finding the Third Proportional to 451,590.75 and 697,623.75

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Solution

The third proportional to 451,590.75 and 697,623.75 is: 1,077,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,590.75 : 697,623.75 = 697,623.75 : x
  2. Step 2: Convert to fraction form
    451,590.75/697,623.75 = 697,623.75/x
  3. Step 3: Cross multiply
    451,590.75x = 697,623.75 × 697,623.75
  4. Step 4: Simplify right side
    451,590.75x = 486,678,896,564.06
  5. Step 5: Solve for x
    x = 486,678,896,564.06/451,590.75
  6. Step 6: Final answer
    x = 1,077,698.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.