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Finding the Third Proportional to 364,491 and 788,886

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Solution

The third proportional to 364,491 and 788,886 is: 1,707,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,491 : 788,886 = 788,886 : x
  2. Step 2: Convert to fraction form
    364,491/788,886 = 788,886/x
  3. Step 3: Cross multiply
    364,491x = 788,886 × 788,886
  4. Step 4: Simplify right side
    364,491x = 622,341,120,996
  5. Step 5: Solve for x
    x = 622,341,120,996/364,491
  6. Step 6: Final answer
    x = 1,707,425.21

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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.