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Finding the Third Proportional to 352,008 and 747,648

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Solution

The third proportional to 352,008 and 747,648 is: 1,587,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,008 : 747,648 = 747,648 : x
  2. Step 2: Convert to fraction form
    352,008/747,648 = 747,648/x
  3. Step 3: Cross multiply
    352,008x = 747,648 × 747,648
  4. Step 4: Simplify right side
    352,008x = 558,977,531,904
  5. Step 5: Solve for x
    x = 558,977,531,904/352,008
  6. Step 6: Final answer
    x = 1,587,968.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.