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Finding the Third Proportional to 305,265 and 448,750

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Solution

The third proportional to 305,265 and 448,750 is: 659,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,265 : 448,750 = 448,750 : x
  2. Step 2: Convert to fraction form
    305,265/448,750 = 448,750/x
  3. Step 3: Cross multiply
    305,265x = 448,750 × 448,750
  4. Step 4: Simplify right side
    305,265x = 201,376,562,500
  5. Step 5: Solve for x
    x = 201,376,562,500/305,265
  6. Step 6: Final answer
    x = 659,677.86

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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.