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Finding the Third Proportional to 337,582 and 477,661

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Solution

The third proportional to 337,582 and 477,661 is: 675,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,582 : 477,661 = 477,661 : x
  2. Step 2: Convert to fraction form
    337,582/477,661 = 477,661/x
  3. Step 3: Cross multiply
    337,582x = 477,661 × 477,661
  4. Step 4: Simplify right side
    337,582x = 228,160,030,921
  5. Step 5: Solve for x
    x = 228,160,030,921/337,582
  6. Step 6: Final answer
    x = 675,865.51

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.