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Finding the Third Proportional to 535,157 and 733,845.50

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Solution

The third proportional to 535,157 and 733,845.50 is: 1,006,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,157 : 733,845.50 = 733,845.50 : x
  2. Step 2: Convert to fraction form
    535,157/733,845.50 = 733,845.50/x
  3. Step 3: Cross multiply
    535,157x = 733,845.50 × 733,845.50
  4. Step 4: Simplify right side
    535,157x = 538,529,217,870.25
  5. Step 5: Solve for x
    x = 538,529,217,870.25/535,157
  6. Step 6: Final answer
    x = 1,006,301.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.