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Finding the Third Proportional to 484,690.50 and 1,035,353.81

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Solution

The third proportional to 484,690.50 and 1,035,353.81 is: 2,211,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,690.50 : 1,035,353.81 = 1,035,353.81 : x
  2. Step 2: Convert to fraction form
    484,690.50/1,035,353.81 = 1,035,353.81/x
  3. Step 3: Cross multiply
    484,690.50x = 1,035,353.81 × 1,035,353.81
  4. Step 4: Simplify right side
    484,690.50x = 1,071,957,517,058.29
  5. Step 5: Solve for x
    x = 1,071,957,517,058.29/484,690.50
  6. Step 6: Final answer
    x = 2,211,633.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.