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Finding the Third Proportional to 563,420.81 and 1,328,688.56

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Solution

The third proportional to 563,420.81 and 1,328,688.56 is: 3,133,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,420.81 : 1,328,688.56 = 1,328,688.56 : x
  2. Step 2: Convert to fraction form
    563,420.81/1,328,688.56 = 1,328,688.56/x
  3. Step 3: Cross multiply
    563,420.81x = 1,328,688.56 × 1,328,688.56
  4. Step 4: Simplify right side
    563,420.81x = 1,765,413,296,118.32
  5. Step 5: Solve for x
    x = 1,765,413,296,118.32/563,420.81
  6. Step 6: Final answer
    x = 3,133,383.18

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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.