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Finding the Third Proportional to 432,270 and 694,534.50

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Solution

The third proportional to 432,270 and 694,534.50 is: 1,115,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,270 : 694,534.50 = 694,534.50 : x
  2. Step 2: Convert to fraction form
    432,270/694,534.50 = 694,534.50/x
  3. Step 3: Cross multiply
    432,270x = 694,534.50 × 694,534.50
  4. Step 4: Simplify right side
    432,270x = 482,378,171,690.25
  5. Step 5: Solve for x
    x = 482,378,171,690.25/432,270
  6. Step 6: Final answer
    x = 1,115,918.69

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.