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Finding the Third Proportional to 454,614.75 and 661,929.75

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Solution

The third proportional to 454,614.75 and 661,929.75 is: 963,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,614.75 : 661,929.75 = 661,929.75 : x
  2. Step 2: Convert to fraction form
    454,614.75/661,929.75 = 661,929.75/x
  3. Step 3: Cross multiply
    454,614.75x = 661,929.75 × 661,929.75
  4. Step 4: Simplify right side
    454,614.75x = 438,150,993,935.06
  5. Step 5: Solve for x
    x = 438,150,993,935.06/454,614.75
  6. Step 6: Final answer
    x = 963,785.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.