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Finding the Third Proportional to 364,671 and 787,662

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Solution

The third proportional to 364,671 and 787,662 is: 1,701,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,671 : 787,662 = 787,662 : x
  2. Step 2: Convert to fraction form
    364,671/787,662 = 787,662/x
  3. Step 3: Cross multiply
    364,671x = 787,662 × 787,662
  4. Step 4: Simplify right side
    364,671x = 620,411,426,244
  5. Step 5: Solve for x
    x = 620,411,426,244/364,671
  6. Step 6: Final answer
    x = 1,701,290.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.