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Finding the Third Proportional to 344,376 and 516,546

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Solution

The third proportional to 344,376 and 516,546 is: 774,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,376 : 516,546 = 516,546 : x
  2. Step 2: Convert to fraction form
    344,376/516,546 = 516,546/x
  3. Step 3: Cross multiply
    344,376x = 516,546 × 516,546
  4. Step 4: Simplify right side
    344,376x = 266,819,770,116
  5. Step 5: Solve for x
    x = 266,819,770,116/344,376
  6. Step 6: Final answer
    x = 774,792.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.