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Finding the Third Proportional to 302,508 and 664,066.50

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Solution

The third proportional to 302,508 and 664,066.50 is: 1,457,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,508 : 664,066.50 = 664,066.50 : x
  2. Step 2: Convert to fraction form
    302,508/664,066.50 = 664,066.50/x
  3. Step 3: Cross multiply
    302,508x = 664,066.50 × 664,066.50
  4. Step 4: Simplify right side
    302,508x = 440,984,316,422.25
  5. Step 5: Solve for x
    x = 440,984,316,422.25/302,508
  6. Step 6: Final answer
    x = 1,457,760.84

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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.