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Finding the Third Proportional to 305,235 and 448,719

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Solution

The third proportional to 305,235 and 448,719 is: 659,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,235 : 448,719 = 448,719 : x
  2. Step 2: Convert to fraction form
    305,235/448,719 = 448,719/x
  3. Step 3: Cross multiply
    305,235x = 448,719 × 448,719
  4. Step 4: Simplify right side
    305,235x = 201,348,740,961
  5. Step 5: Solve for x
    x = 201,348,740,961/305,235
  6. Step 6: Final answer
    x = 659,651.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.