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Finding the Third Proportional to 340,557.75 and 510,836.63

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Solution

The third proportional to 340,557.75 and 510,836.63 is: 766,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,557.75 : 510,836.63 = 510,836.63 : x
  2. Step 2: Convert to fraction form
    340,557.75/510,836.63 = 510,836.63/x
  3. Step 3: Cross multiply
    340,557.75x = 510,836.63 × 510,836.63
  4. Step 4: Simplify right side
    340,557.75x = 260,954,057,441.39
  5. Step 5: Solve for x
    x = 260,954,057,441.39/340,557.75
  6. Step 6: Final answer
    x = 766,254.94

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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.