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Finding the Third Proportional to 309,186 and 715,821

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Solution

The third proportional to 309,186 and 715,821 is: 1,657,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,186 : 715,821 = 715,821 : x
  2. Step 2: Convert to fraction form
    309,186/715,821 = 715,821/x
  3. Step 3: Cross multiply
    309,186x = 715,821 × 715,821
  4. Step 4: Simplify right side
    309,186x = 512,399,704,041
  5. Step 5: Solve for x
    x = 512,399,704,041/309,186
  6. Step 6: Final answer
    x = 1,657,253.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.