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Finding the Third Proportional to 456,859.13 and 669,704.63

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Solution

The third proportional to 456,859.13 and 669,704.63 is: 981,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,859.13 : 669,704.63 = 669,704.63 : x
  2. Step 2: Convert to fraction form
    456,859.13/669,704.63 = 669,704.63/x
  3. Step 3: Cross multiply
    456,859.13x = 669,704.63 × 669,704.63
  4. Step 4: Simplify right side
    456,859.13x = 448,504,284,746.39
  5. Step 5: Solve for x
    x = 448,504,284,746.39/456,859.13
  6. Step 6: Final answer
    x = 981,712.44

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Why These Related Problems?

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