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Finding the Third Proportional to 305,862 and 633,228

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Solution

The third proportional to 305,862 and 633,228 is: 1,310,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862 : 633,228 = 633,228 : x
  2. Step 2: Convert to fraction form
    305,862/633,228 = 633,228/x
  3. Step 3: Cross multiply
    305,862x = 633,228 × 633,228
  4. Step 4: Simplify right side
    305,862x = 400,977,699,984
  5. Step 5: Solve for x
    x = 400,977,699,984/305,862
  6. Step 6: Final answer
    x = 1,310,975.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.