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Finding the Third Proportional to 357,926 and 771,895

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Solution

The third proportional to 357,926 and 771,895 is: 1,664,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,926 : 771,895 = 771,895 : x
  2. Step 2: Convert to fraction form
    357,926/771,895 = 771,895/x
  3. Step 3: Cross multiply
    357,926x = 771,895 × 771,895
  4. Step 4: Simplify right side
    357,926x = 595,821,891,025
  5. Step 5: Solve for x
    x = 595,821,891,025/357,926
  6. Step 6: Final answer
    x = 1,664,651.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.