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Finding the Third Proportional to 526,546 and 816,803

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Solution

The third proportional to 526,546 and 816,803 is: 1,267,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,546 : 816,803 = 816,803 : x
  2. Step 2: Convert to fraction form
    526,546/816,803 = 816,803/x
  3. Step 3: Cross multiply
    526,546x = 816,803 × 816,803
  4. Step 4: Simplify right side
    526,546x = 667,167,140,809
  5. Step 5: Solve for x
    x = 667,167,140,809/526,546
  6. Step 6: Final answer
    x = 1,267,063.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.