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Finding the Third Proportional to 301,896 and 444,094.50

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Solution

The third proportional to 301,896 and 444,094.50 is: 653,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,896 : 444,094.50 = 444,094.50 : x
  2. Step 2: Convert to fraction form
    301,896/444,094.50 = 444,094.50/x
  3. Step 3: Cross multiply
    301,896x = 444,094.50 × 444,094.50
  4. Step 4: Simplify right side
    301,896x = 197,219,924,930.25
  5. Step 5: Solve for x
    x = 197,219,924,930.25/301,896
  6. Step 6: Final answer
    x = 653,271.08

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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.