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Finding the Third Proportional to 365,554.50 and 801,726

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Solution

The third proportional to 365,554.50 and 801,726 is: 1,758,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,554.50 : 801,726 = 801,726 : x
  2. Step 2: Convert to fraction form
    365,554.50/801,726 = 801,726/x
  3. Step 3: Cross multiply
    365,554.50x = 801,726 × 801,726
  4. Step 4: Simplify right side
    365,554.50x = 642,764,579,076
  5. Step 5: Solve for x
    x = 642,764,579,076/365,554.50
  6. Step 6: Final answer
    x = 1,758,327.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.