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Finding the Third Proportional to 337,608 and 522,585

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Solution

The third proportional to 337,608 and 522,585 is: 808,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,608 : 522,585 = 522,585 : x
  2. Step 2: Convert to fraction form
    337,608/522,585 = 522,585/x
  3. Step 3: Cross multiply
    337,608x = 522,585 × 522,585
  4. Step 4: Simplify right side
    337,608x = 273,095,082,225
  5. Step 5: Solve for x
    x = 273,095,082,225/337,608
  6. Step 6: Final answer
    x = 808,911.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.