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Finding the Third Proportional to 531,767.53 and 803,980.69

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Solution

The third proportional to 531,767.53 and 803,980.69 is: 1,215,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,767.53 : 803,980.69 = 803,980.69 : x
  2. Step 2: Convert to fraction form
    531,767.53/803,980.69 = 803,980.69/x
  3. Step 3: Cross multiply
    531,767.53x = 803,980.69 × 803,980.69
  4. Step 4: Simplify right side
    531,767.53x = 646,384,945,872.97
  5. Step 5: Solve for x
    x = 646,384,945,872.97/531,767.53
  6. Step 6: Final answer
    x = 1,215,540.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.