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Finding the Third Proportional to 301,392 and 664,114.50

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Solution

The third proportional to 301,392 and 664,114.50 is: 1,463,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,392 : 664,114.50 = 664,114.50 : x
  2. Step 2: Convert to fraction form
    301,392/664,114.50 = 664,114.50/x
  3. Step 3: Cross multiply
    301,392x = 664,114.50 × 664,114.50
  4. Step 4: Simplify right side
    301,392x = 441,048,069,110.25
  5. Step 5: Solve for x
    x = 441,048,069,110.25/301,392
  6. Step 6: Final answer
    x = 1,463,370.19

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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.