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Finding the Third Proportional to 235,455 and 483,309

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Solution

The third proportional to 235,455 and 483,309 is: 992,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,455 : 483,309 = 483,309 : x
  2. Step 2: Convert to fraction form
    235,455/483,309 = 483,309/x
  3. Step 3: Cross multiply
    235,455x = 483,309 × 483,309
  4. Step 4: Simplify right side
    235,455x = 233,587,589,481
  5. Step 5: Solve for x
    x = 233,587,589,481/235,455
  6. Step 6: Final answer
    x = 992,068.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.