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Finding the Third Proportional to 325,340 and 704,984

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Solution

The third proportional to 325,340 and 704,984 is: 1,527,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,340 : 704,984 = 704,984 : x
  2. Step 2: Convert to fraction form
    325,340/704,984 = 704,984/x
  3. Step 3: Cross multiply
    325,340x = 704,984 × 704,984
  4. Step 4: Simplify right side
    325,340x = 497,002,440,256
  5. Step 5: Solve for x
    x = 497,002,440,256/325,340
  6. Step 6: Final answer
    x = 1,527,640.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.