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Finding the Third Proportional to 344,700 and 514,964.25

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Solution

The third proportional to 344,700 and 514,964.25 is: 769,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,700 : 514,964.25 = 514,964.25 : x
  2. Step 2: Convert to fraction form
    344,700/514,964.25 = 514,964.25/x
  3. Step 3: Cross multiply
    344,700x = 514,964.25 × 514,964.25
  4. Step 4: Simplify right side
    344,700x = 265,188,178,778.06
  5. Step 5: Solve for x
    x = 265,188,178,778.06/344,700
  6. Step 6: Final answer
    x = 769,330.37

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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.