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Finding the Third Proportional to 514,263 and 784,450.50

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Solution

The third proportional to 514,263 and 784,450.50 is: 1,196,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,263 : 784,450.50 = 784,450.50 : x
  2. Step 2: Convert to fraction form
    514,263/784,450.50 = 784,450.50/x
  3. Step 3: Cross multiply
    514,263x = 784,450.50 × 784,450.50
  4. Step 4: Simplify right side
    514,263x = 615,362,586,950.25
  5. Step 5: Solve for x
    x = 615,362,586,950.25/514,263
  6. Step 6: Final answer
    x = 1,196,591.21

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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.