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Finding the Third Proportional to 344,061 and 531,471.38

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Solution

The third proportional to 344,061 and 531,471.38 is: 820,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,061 : 531,471.38 = 531,471.38 : x
  2. Step 2: Convert to fraction form
    344,061/531,471.38 = 531,471.38/x
  3. Step 3: Cross multiply
    344,061x = 531,471.38 × 531,471.38
  4. Step 4: Simplify right side
    344,061x = 282,461,822,444.39
  5. Step 5: Solve for x
    x = 282,461,822,444.39/344,061
  6. Step 6: Final answer
    x = 820,964.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.