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Finding the Third Proportional to 483,772.50 and 750,606.75

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Solution

The third proportional to 483,772.50 and 750,606.75 is: 1,164,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,772.50 : 750,606.75 = 750,606.75 : x
  2. Step 2: Convert to fraction form
    483,772.50/750,606.75 = 750,606.75/x
  3. Step 3: Cross multiply
    483,772.50x = 750,606.75 × 750,606.75
  4. Step 4: Simplify right side
    483,772.50x = 563,410,493,145.56
  5. Step 5: Solve for x
    x = 563,410,493,145.56/483,772.50
  6. Step 6: Final answer
    x = 1,164,618.69

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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.