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Finding the Third Proportional to 299,314.13 and 448,957.13

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Solution

The third proportional to 299,314.13 and 448,957.13 is: 673,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,314.13 : 448,957.13 = 448,957.13 : x
  2. Step 2: Convert to fraction form
    299,314.13/448,957.13 = 448,957.13/x
  3. Step 3: Cross multiply
    299,314.13x = 448,957.13 × 448,957.13
  4. Step 4: Simplify right side
    299,314.13x = 201,562,500,088.27
  5. Step 5: Solve for x
    x = 201,562,500,088.27/299,314.13
  6. Step 6: Final answer
    x = 673,414.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.