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Finding the Third Proportional to 509,331 and 1,060,519.50

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Solution

The third proportional to 509,331 and 1,060,519.50 is: 2,208,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,331 : 1,060,519.50 = 1,060,519.50 : x
  2. Step 2: Convert to fraction form
    509,331/1,060,519.50 = 1,060,519.50/x
  3. Step 3: Cross multiply
    509,331x = 1,060,519.50 × 1,060,519.50
  4. Step 4: Simplify right side
    509,331x = 1,124,701,609,880.25
  5. Step 5: Solve for x
    x = 1,124,701,609,880.25/509,331
  6. Step 6: Final answer
    x = 2,208,193.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.