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Finding the Third Proportional to 352,674 and 783,828

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Solution

The third proportional to 352,674 and 783,828 is: 1,742,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,674 : 783,828 = 783,828 : x
  2. Step 2: Convert to fraction form
    352,674/783,828 = 783,828/x
  3. Step 3: Cross multiply
    352,674x = 783,828 × 783,828
  4. Step 4: Simplify right side
    352,674x = 614,386,333,584
  5. Step 5: Solve for x
    x = 614,386,333,584/352,674
  6. Step 6: Final answer
    x = 1,742,080.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.