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Finding the Third Proportional to 353,072 and 832,768

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Solution

The third proportional to 353,072 and 832,768 is: 1,964,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,072 : 832,768 = 832,768 : x
  2. Step 2: Convert to fraction form
    353,072/832,768 = 832,768/x
  3. Step 3: Cross multiply
    353,072x = 832,768 × 832,768
  4. Step 4: Simplify right side
    353,072x = 693,502,541,824
  5. Step 5: Solve for x
    x = 693,502,541,824/353,072
  6. Step 6: Final answer
    x = 1,964,195.81

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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.