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Finding the Third Proportional to 364,468 and 788,839

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Solution

The third proportional to 364,468 and 788,839 is: 1,707,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,468 : 788,839 = 788,839 : x
  2. Step 2: Convert to fraction form
    364,468/788,839 = 788,839/x
  3. Step 3: Cross multiply
    364,468x = 788,839 × 788,839
  4. Step 4: Simplify right side
    364,468x = 622,266,967,921
  5. Step 5: Solve for x
    x = 622,266,967,921/364,468
  6. Step 6: Final answer
    x = 1,707,329.50

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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.