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Finding the Third Proportional to 352,048 and 830,240

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Solution

The third proportional to 352,048 and 830,240 is: 1,957,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,048 : 830,240 = 830,240 : x
  2. Step 2: Convert to fraction form
    352,048/830,240 = 830,240/x
  3. Step 3: Cross multiply
    352,048x = 830,240 × 830,240
  4. Step 4: Simplify right side
    352,048x = 689,298,457,600
  5. Step 5: Solve for x
    x = 689,298,457,600/352,048
  6. Step 6: Final answer
    x = 1,957,967.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.