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Finding the Third Proportional to 432,303.75 and 690,616.13

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Solution

The third proportional to 432,303.75 and 690,616.13 is: 1,103,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,303.75 : 690,616.13 = 690,616.13 : x
  2. Step 2: Convert to fraction form
    432,303.75/690,616.13 = 690,616.13/x
  3. Step 3: Cross multiply
    432,303.75x = 690,616.13 × 690,616.13
  4. Step 4: Simplify right side
    432,303.75x = 476,950,632,110.02
  5. Step 5: Solve for x
    x = 476,950,632,110.02/432,303.75
  6. Step 6: Final answer
    x = 1,103,276.65

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.