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Finding the Third Proportional to 534,958 and 793,590

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Solution

The third proportional to 534,958 and 793,590 is: 1,177,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,958 : 793,590 = 793,590 : x
  2. Step 2: Convert to fraction form
    534,958/793,590 = 793,590/x
  3. Step 3: Cross multiply
    534,958x = 793,590 × 793,590
  4. Step 4: Simplify right side
    534,958x = 629,785,088,100
  5. Step 5: Solve for x
    x = 629,785,088,100/534,958
  6. Step 6: Final answer
    x = 1,177,260.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.