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Finding the Third Proportional to 301,708.50 and 447,341

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Solution

The third proportional to 301,708.50 and 447,341 is: 663,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,708.50 : 447,341 = 447,341 : x
  2. Step 2: Convert to fraction form
    301,708.50/447,341 = 447,341/x
  3. Step 3: Cross multiply
    301,708.50x = 447,341 × 447,341
  4. Step 4: Simplify right side
    301,708.50x = 200,113,970,281
  5. Step 5: Solve for x
    x = 200,113,970,281/301,708.50
  6. Step 6: Final answer
    x = 663,269.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.