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Finding the Third Proportional to 420,958.69 and 648,045.56

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Solution

The third proportional to 420,958.69 and 648,045.56 is: 997,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,958.69 : 648,045.56 = 648,045.56 : x
  2. Step 2: Convert to fraction form
    420,958.69/648,045.56 = 648,045.56/x
  3. Step 3: Cross multiply
    420,958.69x = 648,045.56 × 648,045.56
  4. Step 4: Simplify right side
    420,958.69x = 419,963,051,075.94
  5. Step 5: Solve for x
    x = 419,963,051,075.94/420,958.69
  6. Step 6: Final answer
    x = 997,634.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.