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Finding the Third Proportional to 427,689 and 662,161.50

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Solution

The third proportional to 427,689 and 662,161.50 is: 1,025,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,689 : 662,161.50 = 662,161.50 : x
  2. Step 2: Convert to fraction form
    427,689/662,161.50 = 662,161.50/x
  3. Step 3: Cross multiply
    427,689x = 662,161.50 × 662,161.50
  4. Step 4: Simplify right side
    427,689x = 438,457,852,082.25
  5. Step 5: Solve for x
    x = 438,457,852,082.25/427,689
  6. Step 6: Final answer
    x = 1,025,179.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.