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Finding the Third Proportional to 491,106.50 and 733,634.50

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Solution

The third proportional to 491,106.50 and 733,634.50 is: 1,095,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,106.50 : 733,634.50 = 733,634.50 : x
  2. Step 2: Convert to fraction form
    491,106.50/733,634.50 = 733,634.50/x
  3. Step 3: Cross multiply
    491,106.50x = 733,634.50 × 733,634.50
  4. Step 4: Simplify right side
    491,106.50x = 538,219,579,590.25
  5. Step 5: Solve for x
    x = 538,219,579,590.25/491,106.50
  6. Step 6: Final answer
    x = 1,095,932.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.