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Finding the Third Proportional to 305,218.50 and 483,669

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Solution

The third proportional to 305,218.50 and 483,669 is: 766,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,218.50 : 483,669 = 483,669 : x
  2. Step 2: Convert to fraction form
    305,218.50/483,669 = 483,669/x
  3. Step 3: Cross multiply
    305,218.50x = 483,669 × 483,669
  4. Step 4: Simplify right side
    305,218.50x = 233,935,701,561
  5. Step 5: Solve for x
    x = 233,935,701,561/305,218.50
  6. Step 6: Final answer
    x = 766,453.22

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Why These Related Problems?

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