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Finding the Third Proportional to 333,120.88 and 536,472.75

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Solution

The third proportional to 333,120.88 and 536,472.75 is: 863,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,120.88 : 536,472.75 = 536,472.75 : x
  2. Step 2: Convert to fraction form
    333,120.88/536,472.75 = 536,472.75/x
  3. Step 3: Cross multiply
    333,120.88x = 536,472.75 × 536,472.75
  4. Step 4: Simplify right side
    333,120.88x = 287,803,011,492.56
  5. Step 5: Solve for x
    x = 287,803,011,492.56/333,120.88
  6. Step 6: Final answer
    x = 863,959.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.