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Finding the Third Proportional to 342,333.84 and 536,999.63

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Solution

The third proportional to 342,333.84 and 536,999.63 is: 842,360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,333.84 : 536,999.63 = 536,999.63 : x
  2. Step 2: Convert to fraction form
    342,333.84/536,999.63 = 536,999.63/x
  3. Step 3: Cross multiply
    342,333.84x = 536,999.63 × 536,999.63
  4. Step 4: Simplify right side
    342,333.84x = 288,368,597,250.14
  5. Step 5: Solve for x
    x = 288,368,597,250.14/342,333.84
  6. Step 6: Final answer
    x = 842,360.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.