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Finding the Third Proportional to 514,296 and 770,937

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Solution

The third proportional to 514,296 and 770,937 is: 1,155,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,296 : 770,937 = 770,937 : x
  2. Step 2: Convert to fraction form
    514,296/770,937 = 770,937/x
  3. Step 3: Cross multiply
    514,296x = 770,937 × 770,937
  4. Step 4: Simplify right side
    514,296x = 594,343,857,969
  5. Step 5: Solve for x
    x = 594,343,857,969/514,296
  6. Step 6: Final answer
    x = 1,155,645.50

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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.