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Finding the Third Proportional to 534,032 and 801,154

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Solution

The third proportional to 534,032 and 801,154 is: 1,201,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,032 : 801,154 = 801,154 : x
  2. Step 2: Convert to fraction form
    534,032/801,154 = 801,154/x
  3. Step 3: Cross multiply
    534,032x = 801,154 × 801,154
  4. Step 4: Simplify right side
    534,032x = 641,847,731,716
  5. Step 5: Solve for x
    x = 641,847,731,716/534,032
  6. Step 6: Final answer
    x = 1,201,890.02

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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.