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Finding the Third Proportional to 352,550 and 771,852

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Solution

The third proportional to 352,550 and 771,852 is: 1,689,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,550 : 771,852 = 771,852 : x
  2. Step 2: Convert to fraction form
    352,550/771,852 = 771,852/x
  3. Step 3: Cross multiply
    352,550x = 771,852 × 771,852
  4. Step 4: Simplify right side
    352,550x = 595,755,509,904
  5. Step 5: Solve for x
    x = 595,755,509,904/352,550
  6. Step 6: Final answer
    x = 1,689,846.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.