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Finding the Third Proportional to 352,449 and 528,783

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Solution

The third proportional to 352,449 and 528,783 is: 793,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,449 : 528,783 = 528,783 : x
  2. Step 2: Convert to fraction form
    352,449/528,783 = 528,783/x
  3. Step 3: Cross multiply
    352,449x = 528,783 × 528,783
  4. Step 4: Simplify right side
    352,449x = 279,611,461,089
  5. Step 5: Solve for x
    x = 279,611,461,089/352,449
  6. Step 6: Final answer
    x = 793,338.78

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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.