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Finding the Third Proportional to 187,283 and 412,740

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Solution

The third proportional to 187,283 and 412,740 is: 909,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,283 : 412,740 = 412,740 : x
  2. Step 2: Convert to fraction form
    187,283/412,740 = 412,740/x
  3. Step 3: Cross multiply
    187,283x = 412,740 × 412,740
  4. Step 4: Simplify right side
    187,283x = 170,354,307,600
  5. Step 5: Solve for x
    x = 170,354,307,600/187,283
  6. Step 6: Final answer
    x = 909,609.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.