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Finding the Third Proportional to 595,760 and 833,376

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Solution

The third proportional to 595,760 and 833,376 is: 1,165,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,760 : 833,376 = 833,376 : x
  2. Step 2: Convert to fraction form
    595,760/833,376 = 833,376/x
  3. Step 3: Cross multiply
    595,760x = 833,376 × 833,376
  4. Step 4: Simplify right side
    595,760x = 694,515,557,376
  5. Step 5: Solve for x
    x = 694,515,557,376/595,760
  6. Step 6: Final answer
    x = 1,165,763.99

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