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Finding the Third Proportional to 424,815 and 651,964.50

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Solution

The third proportional to 424,815 and 651,964.50 is: 1,000,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,815 : 651,964.50 = 651,964.50 : x
  2. Step 2: Convert to fraction form
    424,815/651,964.50 = 651,964.50/x
  3. Step 3: Cross multiply
    424,815x = 651,964.50 × 651,964.50
  4. Step 4: Simplify right side
    424,815x = 425,057,709,260.25
  5. Step 5: Solve for x
    x = 425,057,709,260.25/424,815
  6. Step 6: Final answer
    x = 1,000,571.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.