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Finding the Third Proportional to 301,121 and 443,363

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Solution

The third proportional to 301,121 and 443,363 is: 652,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,121 : 443,363 = 443,363 : x
  2. Step 2: Convert to fraction form
    301,121/443,363 = 443,363/x
  3. Step 3: Cross multiply
    301,121x = 443,363 × 443,363
  4. Step 4: Simplify right side
    301,121x = 196,570,749,769
  5. Step 5: Solve for x
    x = 196,570,749,769/301,121
  6. Step 6: Final answer
    x = 652,796.55

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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.