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Finding the Third Proportional to 343,608 and 524,295

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Solution

The third proportional to 343,608 and 524,295 is: 799,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,608 : 524,295 = 524,295 : x
  2. Step 2: Convert to fraction form
    343,608/524,295 = 524,295/x
  3. Step 3: Cross multiply
    343,608x = 524,295 × 524,295
  4. Step 4: Simplify right side
    343,608x = 274,885,247,025
  5. Step 5: Solve for x
    x = 274,885,247,025/343,608
  6. Step 6: Final answer
    x = 799,996.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.