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Finding the Third Proportional to 340,584 and 515,592

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Solution

The third proportional to 340,584 and 515,592 is: 780,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,584 : 515,592 = 515,592 : x
  2. Step 2: Convert to fraction form
    340,584/515,592 = 515,592/x
  3. Step 3: Cross multiply
    340,584x = 515,592 × 515,592
  4. Step 4: Simplify right side
    340,584x = 265,835,110,464
  5. Step 5: Solve for x
    x = 265,835,110,464/340,584
  6. Step 6: Final answer
    x = 780,527.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.