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Finding the Third Proportional to 354,602 and 531,903

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Solution

The third proportional to 354,602 and 531,903 is: 797,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,602 : 531,903 = 531,903 : x
  2. Step 2: Convert to fraction form
    354,602/531,903 = 531,903/x
  3. Step 3: Cross multiply
    354,602x = 531,903 × 531,903
  4. Step 4: Simplify right side
    354,602x = 282,920,801,409
  5. Step 5: Solve for x
    x = 282,920,801,409/354,602
  6. Step 6: Final answer
    x = 797,854.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.