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Finding the Third Proportional to 527,229 and 798,237.75

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Solution

The third proportional to 527,229 and 798,237.75 is: 1,208,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,229 : 798,237.75 = 798,237.75 : x
  2. Step 2: Convert to fraction form
    527,229/798,237.75 = 798,237.75/x
  3. Step 3: Cross multiply
    527,229x = 798,237.75 × 798,237.75
  4. Step 4: Simplify right side
    527,229x = 637,183,505,525.06
  5. Step 5: Solve for x
    x = 637,183,505,525.06/527,229
  6. Step 6: Final answer
    x = 1,208,551.70

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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.