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Finding the Third Proportional to 337,990.50 and 526,384.88

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Solution

The third proportional to 337,990.50 and 526,384.88 is: 819,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,990.50 : 526,384.88 = 526,384.88 : x
  2. Step 2: Convert to fraction form
    337,990.50/526,384.88 = 526,384.88/x
  3. Step 3: Cross multiply
    337,990.50x = 526,384.88 × 526,384.88
  4. Step 4: Simplify right side
    337,990.50x = 277,081,036,628.77
  5. Step 5: Solve for x
    x = 277,081,036,628.77/337,990.50
  6. Step 6: Final answer
    x = 819,789.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.