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Finding the Third Proportional to 364,464 and 788,832

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Solution

The third proportional to 364,464 and 788,832 is: 1,707,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,464 : 788,832 = 788,832 : x
  2. Step 2: Convert to fraction form
    364,464/788,832 = 788,832/x
  3. Step 3: Cross multiply
    364,464x = 788,832 × 788,832
  4. Step 4: Simplify right side
    364,464x = 622,255,924,224
  5. Step 5: Solve for x
    x = 622,255,924,224/364,464
  6. Step 6: Final answer
    x = 1,707,317.94

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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.