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Finding the Third Proportional to 336,596 and 720,480

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Solution

The third proportional to 336,596 and 720,480 is: 1,542,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,596 : 720,480 = 720,480 : x
  2. Step 2: Convert to fraction form
    336,596/720,480 = 720,480/x
  3. Step 3: Cross multiply
    336,596x = 720,480 × 720,480
  4. Step 4: Simplify right side
    336,596x = 519,091,430,400
  5. Step 5: Solve for x
    x = 519,091,430,400/336,596
  6. Step 6: Final answer
    x = 1,542,179.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.