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Finding the Third Proportional to 368,502 and 552,645

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Solution

The third proportional to 368,502 and 552,645 is: 828,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,502 : 552,645 = 552,645 : x
  2. Step 2: Convert to fraction form
    368,502/552,645 = 552,645/x
  3. Step 3: Cross multiply
    368,502x = 552,645 × 552,645
  4. Step 4: Simplify right side
    368,502x = 305,416,496,025
  5. Step 5: Solve for x
    x = 305,416,496,025/368,502
  6. Step 6: Final answer
    x = 828,805.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.