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Finding the Third Proportional to 301,066.50 and 443,281.50

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Solution

The third proportional to 301,066.50 and 443,281.50 is: 652,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,066.50 : 443,281.50 = 443,281.50 : x
  2. Step 2: Convert to fraction form
    301,066.50/443,281.50 = 443,281.50/x
  3. Step 3: Cross multiply
    301,066.50x = 443,281.50 × 443,281.50
  4. Step 4: Simplify right side
    301,066.50x = 196,498,488,242.25
  5. Step 5: Solve for x
    x = 196,498,488,242.25/301,066.50
  6. Step 6: Final answer
    x = 652,674.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.