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Finding the Third Proportional to 636,706.97 and 963,262.97

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Solution

The third proportional to 636,706.97 and 963,262.97 is: 1,457,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,706.97 : 963,262.97 = 963,262.97 : x
  2. Step 2: Convert to fraction form
    636,706.97/963,262.97 = 963,262.97/x
  3. Step 3: Cross multiply
    636,706.97x = 963,262.97 × 963,262.97
  4. Step 4: Simplify right side
    636,706.97x = 927,875,546,965.06
  5. Step 5: Solve for x
    x = 927,875,546,965.06/636,706.97
  6. Step 6: Final answer
    x = 1,457,303.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.