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Finding the Third Proportional to 563,096.81 and 1,328,680.69

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Solution

The third proportional to 563,096.81 and 1,328,680.69 is: 3,135,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,096.81 : 1,328,680.69 = 1,328,680.69 : x
  2. Step 2: Convert to fraction form
    563,096.81/1,328,680.69 = 1,328,680.69/x
  3. Step 3: Cross multiply
    563,096.81x = 1,328,680.69 × 1,328,680.69
  4. Step 4: Simplify right side
    563,096.81x = 1,765,392,369,335.47
  5. Step 5: Solve for x
    x = 1,765,392,369,335.47/563,096.81
  6. Step 6: Final answer
    x = 3,135,148.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.