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Finding the Third Proportional to 434,319.75 and 664,395.75

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Solution

The third proportional to 434,319.75 and 664,395.75 is: 1,016,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,319.75 : 664,395.75 = 664,395.75 : x
  2. Step 2: Convert to fraction form
    434,319.75/664,395.75 = 664,395.75/x
  3. Step 3: Cross multiply
    434,319.75x = 664,395.75 × 664,395.75
  4. Step 4: Simplify right side
    434,319.75x = 441,421,712,618.06
  5. Step 5: Solve for x
    x = 441,421,712,618.06/434,319.75
  6. Step 6: Final answer
    x = 1,016,351.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.