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Finding the Third Proportional to 340,224 and 794,664

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Solution

The third proportional to 340,224 and 794,664 is: 1,856,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,224 : 794,664 = 794,664 : x
  2. Step 2: Convert to fraction form
    340,224/794,664 = 794,664/x
  3. Step 3: Cross multiply
    340,224x = 794,664 × 794,664
  4. Step 4: Simplify right side
    340,224x = 631,490,872,896
  5. Step 5: Solve for x
    x = 631,490,872,896/340,224
  6. Step 6: Final answer
    x = 1,856,103.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.