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Finding the Third Proportional to 487,084 and 764,280

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Solution

The third proportional to 487,084 and 764,280 is: 1,199,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,084 : 764,280 = 764,280 : x
  2. Step 2: Convert to fraction form
    487,084/764,280 = 764,280/x
  3. Step 3: Cross multiply
    487,084x = 764,280 × 764,280
  4. Step 4: Simplify right side
    487,084x = 584,123,918,400
  5. Step 5: Solve for x
    x = 584,123,918,400/487,084
  6. Step 6: Final answer
    x = 1,199,226.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.