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Finding the Third Proportional to 305,262.84 and 448,748.23

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Solution

The third proportional to 305,262.84 and 448,748.23 is: 659,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,262.84 : 448,748.23 = 448,748.23 : x
  2. Step 2: Convert to fraction form
    305,262.84/448,748.23 = 448,748.23/x
  3. Step 3: Cross multiply
    305,262.84x = 448,748.23 × 448,748.23
  4. Step 4: Simplify right side
    305,262.84x = 201,374,970,842.99
  5. Step 5: Solve for x
    x = 201,374,970,842.99/305,262.84
  6. Step 6: Final answer
    x = 659,677.31

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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.