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Finding the Third Proportional to 320,357 and 704,664

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Solution

The third proportional to 320,357 and 704,664 is: 1,549,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,357 : 704,664 = 704,664 : x
  2. Step 2: Convert to fraction form
    320,357/704,664 = 704,664/x
  3. Step 3: Cross multiply
    320,357x = 704,664 × 704,664
  4. Step 4: Simplify right side
    320,357x = 496,551,352,896
  5. Step 5: Solve for x
    x = 496,551,352,896/320,357
  6. Step 6: Final answer
    x = 1,549,993.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.