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Finding the Third Proportional to 507,150.75 and 784,870.75

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Solution

The third proportional to 507,150.75 and 784,870.75 is: 1,214,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,150.75 : 784,870.75 = 784,870.75 : x
  2. Step 2: Convert to fraction form
    507,150.75/784,870.75 = 784,870.75/x
  3. Step 3: Cross multiply
    507,150.75x = 784,870.75 × 784,870.75
  4. Step 4: Simplify right side
    507,150.75x = 616,022,094,205.56
  5. Step 5: Solve for x
    x = 616,022,094,205.56/507,150.75
  6. Step 6: Final answer
    x = 1,214,672.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.