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Finding the Third Proportional to 465,098 and 697,647

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Solution

The third proportional to 465,098 and 697,647 is: 1,046,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,098 : 697,647 = 697,647 : x
  2. Step 2: Convert to fraction form
    465,098/697,647 = 697,647/x
  3. Step 3: Cross multiply
    465,098x = 697,647 × 697,647
  4. Step 4: Simplify right side
    465,098x = 486,711,336,609
  5. Step 5: Solve for x
    x = 486,711,336,609/465,098
  6. Step 6: Final answer
    x = 1,046,470.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.