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Finding the Third Proportional to 352,133 and 759,021

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Solution

The third proportional to 352,133 and 759,021 is: 1,636,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,133 : 759,021 = 759,021 : x
  2. Step 2: Convert to fraction form
    352,133/759,021 = 759,021/x
  3. Step 3: Cross multiply
    352,133x = 759,021 × 759,021
  4. Step 4: Simplify right side
    352,133x = 576,112,878,441
  5. Step 5: Solve for x
    x = 576,112,878,441/352,133
  6. Step 6: Final answer
    x = 1,636,066.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.