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Finding the Third Proportional to 535,489 and 713,905.50

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Solution

The third proportional to 535,489 and 713,905.50 is: 951,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,489 : 713,905.50 = 713,905.50 : x
  2. Step 2: Convert to fraction form
    535,489/713,905.50 = 713,905.50/x
  3. Step 3: Cross multiply
    535,489x = 713,905.50 × 713,905.50
  4. Step 4: Simplify right side
    535,489x = 509,661,062,930.25
  5. Step 5: Solve for x
    x = 509,661,062,930.25/535,489
  6. Step 6: Final answer
    x = 951,767.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.