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Finding the Third Proportional to 480,919.50 and 750,496.50

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Solution

The third proportional to 480,919.50 and 750,496.50 is: 1,171,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,919.50 : 750,496.50 = 750,496.50 : x
  2. Step 2: Convert to fraction form
    480,919.50/750,496.50 = 750,496.50/x
  3. Step 3: Cross multiply
    480,919.50x = 750,496.50 × 750,496.50
  4. Step 4: Simplify right side
    480,919.50x = 563,244,996,512.25
  5. Step 5: Solve for x
    x = 563,244,996,512.25/480,919.50
  6. Step 6: Final answer
    x = 1,171,183.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.