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Finding the Third Proportional to 432,365.34 and 920,863.69

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Solution

The third proportional to 432,365.34 and 920,863.69 is: 1,961,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,365.34 : 920,863.69 = 920,863.69 : x
  2. Step 2: Convert to fraction form
    432,365.34/920,863.69 = 920,863.69/x
  3. Step 3: Cross multiply
    432,365.34x = 920,863.69 × 920,863.69
  4. Step 4: Simplify right side
    432,365.34x = 847,989,930,956.10
  5. Step 5: Solve for x
    x = 847,989,930,956.10/432,365.34
  6. Step 6: Final answer
    x = 1,961,280.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.