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Finding the Third Proportional to 301,101 and 443,335.50

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Solution

The third proportional to 301,101 and 443,335.50 is: 652,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,101 : 443,335.50 = 443,335.50 : x
  2. Step 2: Convert to fraction form
    301,101/443,335.50 = 443,335.50/x
  3. Step 3: Cross multiply
    301,101x = 443,335.50 × 443,335.50
  4. Step 4: Simplify right side
    301,101x = 196,546,365,560.25
  5. Step 5: Solve for x
    x = 196,546,365,560.25/301,101
  6. Step 6: Final answer
    x = 652,758.93

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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.