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Finding the Third Proportional to 482,847.75 and 764,397

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Solution

The third proportional to 482,847.75 and 764,397 is: 1,210,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,847.75 : 764,397 = 764,397 : x
  2. Step 2: Convert to fraction form
    482,847.75/764,397 = 764,397/x
  3. Step 3: Cross multiply
    482,847.75x = 764,397 × 764,397
  4. Step 4: Simplify right side
    482,847.75x = 584,302,773,609
  5. Step 5: Solve for x
    x = 584,302,773,609/482,847.75
  6. Step 6: Final answer
    x = 1,210,118.04

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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.