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Finding the Third Proportional to 334,789.50 and 468,262.50

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Solution

The third proportional to 334,789.50 and 468,262.50 is: 654,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,789.50 : 468,262.50 = 468,262.50 : x
  2. Step 2: Convert to fraction form
    334,789.50/468,262.50 = 468,262.50/x
  3. Step 3: Cross multiply
    334,789.50x = 468,262.50 × 468,262.50
  4. Step 4: Simplify right side
    334,789.50x = 219,269,768,906.25
  5. Step 5: Solve for x
    x = 219,269,768,906.25/334,789.50
  6. Step 6: Final answer
    x = 654,948.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.