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Finding the Third Proportional to 420,406.50 and 651,265.50

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Solution

The third proportional to 420,406.50 and 651,265.50 is: 1,008,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,406.50 : 651,265.50 = 651,265.50 : x
  2. Step 2: Convert to fraction form
    420,406.50/651,265.50 = 651,265.50/x
  3. Step 3: Cross multiply
    420,406.50x = 651,265.50 × 651,265.50
  4. Step 4: Simplify right side
    420,406.50x = 424,146,751,490.25
  5. Step 5: Solve for x
    x = 424,146,751,490.25/420,406.50
  6. Step 6: Final answer
    x = 1,008,896.75

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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.