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Finding the Third Proportional to 636,718.50 and 963,277.50

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Solution

The third proportional to 636,718.50 and 963,277.50 is: 1,457,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,718.50 : 963,277.50 = 963,277.50 : x
  2. Step 2: Convert to fraction form
    636,718.50/963,277.50 = 963,277.50/x
  3. Step 3: Cross multiply
    636,718.50x = 963,277.50 × 963,277.50
  4. Step 4: Simplify right side
    636,718.50x = 927,903,542,006.25
  5. Step 5: Solve for x
    x = 927,903,542,006.25/636,718.50
  6. Step 6: Final answer
    x = 1,457,321.47

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Why These Related Problems?

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