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Finding the Third Proportional to 514,314 and 770,976

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Solution

The third proportional to 514,314 and 770,976 is: 1,155,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,314 : 770,976 = 770,976 : x
  2. Step 2: Convert to fraction form
    514,314/770,976 = 770,976/x
  3. Step 3: Cross multiply
    514,314x = 770,976 × 770,976
  4. Step 4: Simplify right side
    514,314x = 594,403,992,576
  5. Step 5: Solve for x
    x = 594,403,992,576/514,314
  6. Step 6: Final answer
    x = 1,155,721.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.