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Finding the Third Proportional to 456,880.50 and 669,732

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Solution

The third proportional to 456,880.50 and 669,732 is: 981,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,880.50 : 669,732 = 669,732 : x
  2. Step 2: Convert to fraction form
    456,880.50/669,732 = 669,732/x
  3. Step 3: Cross multiply
    456,880.50x = 669,732 × 669,732
  4. Step 4: Simplify right side
    456,880.50x = 448,540,951,824
  5. Step 5: Solve for x
    x = 448,540,951,824/456,880.50
  6. Step 6: Final answer
    x = 981,746.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.