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Finding the Third Proportional to 344,650 and 514,896

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Solution

The third proportional to 344,650 and 514,896 is: 769,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,650 : 514,896 = 514,896 : x
  2. Step 2: Convert to fraction form
    344,650/514,896 = 514,896/x
  3. Step 3: Cross multiply
    344,650x = 514,896 × 514,896
  4. Step 4: Simplify right side
    344,650x = 265,117,890,816
  5. Step 5: Solve for x
    x = 265,117,890,816/344,650
  6. Step 6: Final answer
    x = 769,238.04

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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.