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Finding the Third Proportional to 344,164 and 531,654

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Solution

The third proportional to 344,164 and 531,654 is: 821,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,164 : 531,654 = 531,654 : x
  2. Step 2: Convert to fraction form
    344,164/531,654 = 531,654/x
  3. Step 3: Cross multiply
    344,164x = 531,654 × 531,654
  4. Step 4: Simplify right side
    344,164x = 282,655,975,716
  5. Step 5: Solve for x
    x = 282,655,975,716/344,164
  6. Step 6: Final answer
    x = 821,282.81

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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.