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Finding the Third Proportional to 448,795.69 and 960,633

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Solution

The third proportional to 448,795.69 and 960,633 is: 2,056,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,795.69 : 960,633 = 960,633 : x
  2. Step 2: Convert to fraction form
    448,795.69/960,633 = 960,633/x
  3. Step 3: Cross multiply
    448,795.69x = 960,633 × 960,633
  4. Step 4: Simplify right side
    448,795.69x = 922,815,760,689
  5. Step 5: Solve for x
    x = 922,815,760,689/448,795.69
  6. Step 6: Final answer
    x = 2,056,204.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.