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Finding the Third Proportional to 305,569.69 and 483,748.31

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Solution

The third proportional to 305,569.69 and 483,748.31 is: 765,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,569.69 : 483,748.31 = 483,748.31 : x
  2. Step 2: Convert to fraction form
    305,569.69/483,748.31 = 483,748.31/x
  3. Step 3: Cross multiply
    305,569.69x = 483,748.31 × 483,748.31
  4. Step 4: Simplify right side
    305,569.69x = 234,012,429,846.60
  5. Step 5: Solve for x
    x = 234,012,429,846.60/305,569.69
  6. Step 6: Final answer
    x = 765,823.44

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.