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Finding the Third Proportional to 309,878 and 656,957

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Solution

The third proportional to 309,878 and 656,957 is: 1,392,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,878 : 656,957 = 656,957 : x
  2. Step 2: Convert to fraction form
    309,878/656,957 = 656,957/x
  3. Step 3: Cross multiply
    309,878x = 656,957 × 656,957
  4. Step 4: Simplify right side
    309,878x = 431,592,499,849
  5. Step 5: Solve for x
    x = 431,592,499,849/309,878
  6. Step 6: Final answer
    x = 1,392,782.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.