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Finding the Third Proportional to 337,977 and 526,351.50

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Solution

The third proportional to 337,977 and 526,351.50 is: 819,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,977 : 526,351.50 = 526,351.50 : x
  2. Step 2: Convert to fraction form
    337,977/526,351.50 = 526,351.50/x
  3. Step 3: Cross multiply
    337,977x = 526,351.50 × 526,351.50
  4. Step 4: Simplify right side
    337,977x = 277,045,901,552.25
  5. Step 5: Solve for x
    x = 277,045,901,552.25/337,977
  6. Step 6: Final answer
    x = 819,718.21

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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.