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Finding the Third Proportional to 527,227 and 798,233.50

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Solution

The third proportional to 527,227 and 798,233.50 is: 1,208,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,227 : 798,233.50 = 798,233.50 : x
  2. Step 2: Convert to fraction form
    527,227/798,233.50 = 798,233.50/x
  3. Step 3: Cross multiply
    527,227x = 798,233.50 × 798,233.50
  4. Step 4: Simplify right side
    527,227x = 637,176,720,522.25
  5. Step 5: Solve for x
    x = 637,176,720,522.25/527,227
  6. Step 6: Final answer
    x = 1,208,543.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.