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Finding the Third Proportional to 432,427.99 and 946,304.65

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Solution

The third proportional to 432,427.99 and 946,304.65 is: 2,070,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,427.99 : 946,304.65 = 946,304.65 : x
  2. Step 2: Convert to fraction form
    432,427.99/946,304.65 = 946,304.65/x
  3. Step 3: Cross multiply
    432,427.99x = 946,304.65 × 946,304.65
  4. Step 4: Simplify right side
    432,427.99x = 895,492,487,654.42
  5. Step 5: Solve for x
    x = 895,492,487,654.42/432,427.99
  6. Step 6: Final answer
    x = 2,070,847.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.