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Finding the Third Proportional to 526,412.25 and 786,105

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Solution

The third proportional to 526,412.25 and 786,105 is: 1,173,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,412.25 : 786,105 = 786,105 : x
  2. Step 2: Convert to fraction form
    526,412.25/786,105 = 786,105/x
  3. Step 3: Cross multiply
    526,412.25x = 786,105 × 786,105
  4. Step 4: Simplify right side
    526,412.25x = 617,961,071,025
  5. Step 5: Solve for x
    x = 617,961,071,025/526,412.25
  6. Step 6: Final answer
    x = 1,173,910.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.