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Finding the Third Proportional to 426,842 and 643,077

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Solution

The third proportional to 426,842 and 643,077 is: 968,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,842 : 643,077 = 643,077 : x
  2. Step 2: Convert to fraction form
    426,842/643,077 = 643,077/x
  3. Step 3: Cross multiply
    426,842x = 643,077 × 643,077
  4. Step 4: Simplify right side
    426,842x = 413,548,027,929
  5. Step 5: Solve for x
    x = 413,548,027,929/426,842
  6. Step 6: Final answer
    x = 968,855.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.