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Finding the Third Proportional to 368,608 and 586,122

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Solution

The third proportional to 368,608 and 586,122 is: 931,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,608 : 586,122 = 586,122 : x
  2. Step 2: Convert to fraction form
    368,608/586,122 = 586,122/x
  3. Step 3: Cross multiply
    368,608x = 586,122 × 586,122
  4. Step 4: Simplify right side
    368,608x = 343,538,998,884
  5. Step 5: Solve for x
    x = 343,538,998,884/368,608
  6. Step 6: Final answer
    x = 931,990.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.