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Finding the Third Proportional to 463,563 and 962,653.50

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Solution

The third proportional to 463,563 and 962,653.50 is: 1,999,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,563 : 962,653.50 = 962,653.50 : x
  2. Step 2: Convert to fraction form
    463,563/962,653.50 = 962,653.50/x
  3. Step 3: Cross multiply
    463,563x = 962,653.50 × 962,653.50
  4. Step 4: Simplify right side
    463,563x = 926,701,761,062.25
  5. Step 5: Solve for x
    x = 926,701,761,062.25/463,563
  6. Step 6: Final answer
    x = 1,999,084.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.