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Finding the Third Proportional to 344,382 and 516,565

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Solution

The third proportional to 344,382 and 516,565 is: 774,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,382 : 516,565 = 516,565 : x
  2. Step 2: Convert to fraction form
    344,382/516,565 = 516,565/x
  3. Step 3: Cross multiply
    344,382x = 516,565 × 516,565
  4. Step 4: Simplify right side
    344,382x = 266,839,399,225
  5. Step 5: Solve for x
    x = 266,839,399,225/344,382
  6. Step 6: Final answer
    x = 774,835.50

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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.