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Finding the Third Proportional to 458,325.38 and 986,862.38

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Solution

The third proportional to 458,325.38 and 986,862.38 is: 2,124,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,325.38 : 986,862.38 = 986,862.38 : x
  2. Step 2: Convert to fraction form
    458,325.38/986,862.38 = 986,862.38/x
  3. Step 3: Cross multiply
    458,325.38x = 986,862.38 × 986,862.38
  4. Step 4: Simplify right side
    458,325.38x = 973,897,347,190.64
  5. Step 5: Solve for x
    x = 973,897,347,190.64/458,325.38
  6. Step 6: Final answer
    x = 2,124,903.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.