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Finding the Third Proportional to 260,640 and 384,048

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Solution

The third proportional to 260,640 and 384,048 is: 565,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,640 : 384,048 = 384,048 : x
  2. Step 2: Convert to fraction form
    260,640/384,048 = 384,048/x
  3. Step 3: Cross multiply
    260,640x = 384,048 × 384,048
  4. Step 4: Simplify right side
    260,640x = 147,492,866,304
  5. Step 5: Solve for x
    x = 147,492,866,304/260,640
  6. Step 6: Final answer
    x = 565,887.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.