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Finding the Third Proportional to 237,794.06 and 521,402.06

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Solution

The third proportional to 237,794.06 and 521,402.06 is: 1,143,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,794.06 : 521,402.06 = 521,402.06 : x
  2. Step 2: Convert to fraction form
    237,794.06/521,402.06 = 521,402.06/x
  3. Step 3: Cross multiply
    237,794.06x = 521,402.06 × 521,402.06
  4. Step 4: Simplify right side
    237,794.06x = 271,860,110,779.25
  5. Step 5: Solve for x
    x = 271,860,110,779.25/237,794.06
  6. Step 6: Final answer
    x = 1,143,258.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.