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Finding the Third Proportional to 636,715.69 and 963,272.25

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Solution

The third proportional to 636,715.69 and 963,272.25 is: 1,457,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,715.69 : 963,272.25 = 963,272.25 : x
  2. Step 2: Convert to fraction form
    636,715.69/963,272.25 = 963,272.25/x
  3. Step 3: Cross multiply
    636,715.69x = 963,272.25 × 963,272.25
  4. Step 4: Simplify right side
    636,715.69x = 927,893,427,620.06
  5. Step 5: Solve for x
    x = 927,893,427,620.06/636,715.69
  6. Step 6: Final answer
    x = 1,457,312.02

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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.