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Finding the Third Proportional to 738,106.50 and 1,103,307

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Solution

The third proportional to 738,106.50 and 1,103,307 is: 1,649,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,106.50 : 1,103,307 = 1,103,307 : x
  2. Step 2: Convert to fraction form
    738,106.50/1,103,307 = 1,103,307/x
  3. Step 3: Cross multiply
    738,106.50x = 1,103,307 × 1,103,307
  4. Step 4: Simplify right side
    738,106.50x = 1,217,286,336,249
  5. Step 5: Solve for x
    x = 1,217,286,336,249/738,106.50
  6. Step 6: Final answer
    x = 1,649,201.49

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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.