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Finding the Third Proportional to 595,746 and 833,355

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Solution

The third proportional to 595,746 and 833,355 is: 1,165,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,746 : 833,355 = 833,355 : x
  2. Step 2: Convert to fraction form
    595,746/833,355 = 833,355/x
  3. Step 3: Cross multiply
    595,746x = 833,355 × 833,355
  4. Step 4: Simplify right side
    595,746x = 694,480,556,025
  5. Step 5: Solve for x
    x = 694,480,556,025/595,746
  6. Step 6: Final answer
    x = 1,165,732.64

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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.