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Finding the Third Proportional to 514,260.75 and 784,443.75

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Solution

The third proportional to 514,260.75 and 784,443.75 is: 1,196,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,260.75 : 784,443.75 = 784,443.75 : x
  2. Step 2: Convert to fraction form
    514,260.75/784,443.75 = 784,443.75/x
  3. Step 3: Cross multiply
    514,260.75x = 784,443.75 × 784,443.75
  4. Step 4: Simplify right side
    514,260.75x = 615,351,996,914.06
  5. Step 5: Solve for x
    x = 615,351,996,914.06/514,260.75
  6. Step 6: Final answer
    x = 1,196,575.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.