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Finding the Third Proportional to 385,044 and 899,629.50

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Solution

The third proportional to 385,044 and 899,629.50 is: 2,101,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,044 : 899,629.50 = 899,629.50 : x
  2. Step 2: Convert to fraction form
    385,044/899,629.50 = 899,629.50/x
  3. Step 3: Cross multiply
    385,044x = 899,629.50 × 899,629.50
  4. Step 4: Simplify right side
    385,044x = 809,333,237,270.25
  5. Step 5: Solve for x
    x = 809,333,237,270.25/385,044
  6. Step 6: Final answer
    x = 2,101,924.03

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.