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Finding the Third Proportional to 430,872.75 and 681,949.13

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Solution

The third proportional to 430,872.75 and 681,949.13 is: 1,079,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,872.75 : 681,949.13 = 681,949.13 : x
  2. Step 2: Convert to fraction form
    430,872.75/681,949.13 = 681,949.13/x
  3. Step 3: Cross multiply
    430,872.75x = 681,949.13 × 681,949.13
  4. Step 4: Simplify right side
    430,872.75x = 465,054,609,088.27
  5. Step 5: Solve for x
    x = 465,054,609,088.27/430,872.75
  6. Step 6: Final answer
    x = 1,079,331.68

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.