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Finding the Third Proportional to 456,490.13 and 712,369.13

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Solution

The third proportional to 456,490.13 and 712,369.13 is: 1,111,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,490.13 : 712,369.13 = 712,369.13 : x
  2. Step 2: Convert to fraction form
    456,490.13/712,369.13 = 712,369.13/x
  3. Step 3: Cross multiply
    456,490.13x = 712,369.13 × 712,369.13
  4. Step 4: Simplify right side
    456,490.13x = 507,469,770,253.27
  5. Step 5: Solve for x
    x = 507,469,770,253.27/456,490.13
  6. Step 6: Final answer
    x = 1,111,677.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.