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Finding the Third Proportional to 301,374 and 664,078.50

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Solution

The third proportional to 301,374 and 664,078.50 is: 1,463,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,374 : 664,078.50 = 664,078.50 : x
  2. Step 2: Convert to fraction form
    301,374/664,078.50 = 664,078.50/x
  3. Step 3: Cross multiply
    301,374x = 664,078.50 × 664,078.50
  4. Step 4: Simplify right side
    301,374x = 441,000,254,162.25
  5. Step 5: Solve for x
    x = 441,000,254,162.25/301,374
  6. Step 6: Final answer
    x = 1,463,298.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.