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Finding the Third Proportional to 365,022 and 786,207

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Solution

The third proportional to 365,022 and 786,207 is: 1,693,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,022 : 786,207 = 786,207 : x
  2. Step 2: Convert to fraction form
    365,022/786,207 = 786,207/x
  3. Step 3: Cross multiply
    365,022x = 786,207 × 786,207
  4. Step 4: Simplify right side
    365,022x = 618,121,446,849
  5. Step 5: Solve for x
    x = 618,121,446,849/365,022
  6. Step 6: Final answer
    x = 1,693,381.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.