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Finding the Third Proportional to 345,093.75 and 529,696.13

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Solution

The third proportional to 345,093.75 and 529,696.13 is: 813,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,093.75 : 529,696.13 = 529,696.13 : x
  2. Step 2: Convert to fraction form
    345,093.75/529,696.13 = 529,696.13/x
  3. Step 3: Cross multiply
    345,093.75x = 529,696.13 × 529,696.13
  4. Step 4: Simplify right side
    345,093.75x = 280,577,984,840.02
  5. Step 5: Solve for x
    x = 280,577,984,840.02/345,093.75
  6. Step 6: Final answer
    x = 813,048.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.