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Finding the Third Proportional to 202,902 and 433,944

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Solution

The third proportional to 202,902 and 433,944 is: 928,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,902 : 433,944 = 433,944 : x
  2. Step 2: Convert to fraction form
    202,902/433,944 = 433,944/x
  3. Step 3: Cross multiply
    202,902x = 433,944 × 433,944
  4. Step 4: Simplify right side
    202,902x = 188,307,395,136
  5. Step 5: Solve for x
    x = 188,307,395,136/202,902
  6. Step 6: Final answer
    x = 928,070.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.