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Finding the Third Proportional to 365,544 and 532,764

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Solution

The third proportional to 365,544 and 532,764 is: 776,479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,544 : 532,764 = 532,764 : x
  2. Step 2: Convert to fraction form
    365,544/532,764 = 532,764/x
  3. Step 3: Cross multiply
    365,544x = 532,764 × 532,764
  4. Step 4: Simplify right side
    365,544x = 283,837,479,696
  5. Step 5: Solve for x
    x = 283,837,479,696/365,544
  6. Step 6: Final answer
    x = 776,479.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.