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Finding the Third Proportional to 352,906 and 832,955

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Solution

The third proportional to 352,906 and 832,955 is: 1,966,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,906 : 832,955 = 832,955 : x
  2. Step 2: Convert to fraction form
    352,906/832,955 = 832,955/x
  3. Step 3: Cross multiply
    352,906x = 832,955 × 832,955
  4. Step 4: Simplify right side
    352,906x = 693,814,032,025
  5. Step 5: Solve for x
    x = 693,814,032,025/352,906
  6. Step 6: Final answer
    x = 1,966,002.37

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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.