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Finding the Third Proportional to 300,053.25 and 464,457.38

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Solution

The third proportional to 300,053.25 and 464,457.38 is: 718,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,053.25 : 464,457.38 = 464,457.38 : x
  2. Step 2: Convert to fraction form
    300,053.25/464,457.38 = 464,457.38/x
  3. Step 3: Cross multiply
    300,053.25x = 464,457.38 × 464,457.38
  4. Step 4: Simplify right side
    300,053.25x = 215,720,653,191.89
  5. Step 5: Solve for x
    x = 215,720,653,191.89/300,053.25
  6. Step 6: Final answer
    x = 718,941.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.