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Finding the Third Proportional to 212,956.99 and 466,010.40

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Solution

The third proportional to 212,956.99 and 466,010.40 is: 1,019,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,956.99 : 466,010.40 = 466,010.40 : x
  2. Step 2: Convert to fraction form
    212,956.99/466,010.40 = 466,010.40/x
  3. Step 3: Cross multiply
    212,956.99x = 466,010.40 × 466,010.40
  4. Step 4: Simplify right side
    212,956.99x = 217,165,695,092.58
  5. Step 5: Solve for x
    x = 217,165,695,092.58/212,956.99
  6. Step 6: Final answer
    x = 1,019,763.17

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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.