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Finding the Third Proportional to 697,500 and 987,233.63

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Solution

The third proportional to 697,500 and 987,233.63 is: 1,397,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,500 : 987,233.63 = 987,233.63 : x
  2. Step 2: Convert to fraction form
    697,500/987,233.63 = 987,233.63/x
  3. Step 3: Cross multiply
    697,500x = 987,233.63 × 987,233.63
  4. Step 4: Simplify right side
    697,500x = 974,630,230,330.64
  5. Step 5: Solve for x
    x = 974,630,230,330.64/697,500
  6. Step 6: Final answer
    x = 1,397,319.33

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.