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Finding the Third Proportional to 455,478.75 and 648,838.69

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Solution

The third proportional to 455,478.75 and 648,838.69 is: 924,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,478.75 : 648,838.69 = 648,838.69 : x
  2. Step 2: Convert to fraction form
    455,478.75/648,838.69 = 648,838.69/x
  3. Step 3: Cross multiply
    455,478.75x = 648,838.69 × 648,838.69
  4. Step 4: Simplify right side
    455,478.75x = 420,991,642,396.72
  5. Step 5: Solve for x
    x = 420,991,642,396.72/455,478.75
  6. Step 6: Final answer
    x = 924,283.83

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.