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Finding the Third Proportional to 190,046 and 412,948

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Solution

The third proportional to 190,046 and 412,948 is: 897,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,046 : 412,948 = 412,948 : x
  2. Step 2: Convert to fraction form
    190,046/412,948 = 412,948/x
  3. Step 3: Cross multiply
    190,046x = 412,948 × 412,948
  4. Step 4: Simplify right side
    190,046x = 170,526,050,704
  5. Step 5: Solve for x
    x = 170,526,050,704/190,046
  6. Step 6: Final answer
    x = 897,288.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.