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Finding the Third Proportional to 344,635 and 514,887

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Solution

The third proportional to 344,635 and 514,887 is: 769,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,635 : 514,887 = 514,887 : x
  2. Step 2: Convert to fraction form
    344,635/514,887 = 514,887/x
  3. Step 3: Cross multiply
    344,635x = 514,887 × 514,887
  4. Step 4: Simplify right side
    344,635x = 265,108,622,769
  5. Step 5: Solve for x
    x = 265,108,622,769/344,635
  6. Step 6: Final answer
    x = 769,244.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.