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Finding the Third Proportional to 514,282.50 and 784,481.63

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Solution

The third proportional to 514,282.50 and 784,481.63 is: 1,196,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,282.50 : 784,481.63 = 784,481.63 : x
  2. Step 2: Convert to fraction form
    514,282.50/784,481.63 = 784,481.63/x
  3. Step 3: Cross multiply
    514,282.50x = 784,481.63 × 784,481.63
  4. Step 4: Simplify right side
    514,282.50x = 615,411,419,962.64
  5. Step 5: Solve for x
    x = 615,411,419,962.64/514,282.50
  6. Step 6: Final answer
    x = 1,196,640.80

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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.