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Finding the Third Proportional to 264,211.88 and 377,704.69

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Solution

The third proportional to 264,211.88 and 377,704.69 is: 539,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,211.88 : 377,704.69 = 377,704.69 : x
  2. Step 2: Convert to fraction form
    264,211.88/377,704.69 = 377,704.69/x
  3. Step 3: Cross multiply
    264,211.88x = 377,704.69 × 377,704.69
  4. Step 4: Simplify right side
    264,211.88x = 142,660,830,959.47
  5. Step 5: Solve for x
    x = 142,660,830,959.47/264,211.88
  6. Step 6: Final answer
    x = 539,948.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.