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Finding the Third Proportional to 482,860 and 764,416.50

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Solution

The third proportional to 482,860 and 764,416.50 is: 1,210,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,860 : 764,416.50 = 764,416.50 : x
  2. Step 2: Convert to fraction form
    482,860/764,416.50 = 764,416.50/x
  3. Step 3: Cross multiply
    482,860x = 764,416.50 × 764,416.50
  4. Step 4: Simplify right side
    482,860x = 584,332,585,472.25
  5. Step 5: Solve for x
    x = 584,332,585,472.25/482,860
  6. Step 6: Final answer
    x = 1,210,149.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.