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Finding the Third Proportional to 351,810 and 758,322

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Solution

The third proportional to 351,810 and 758,322 is: 1,634,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,810 : 758,322 = 758,322 : x
  2. Step 2: Convert to fraction form
    351,810/758,322 = 758,322/x
  3. Step 3: Cross multiply
    351,810x = 758,322 × 758,322
  4. Step 4: Simplify right side
    351,810x = 575,052,255,684
  5. Step 5: Solve for x
    x = 575,052,255,684/351,810
  6. Step 6: Final answer
    x = 1,634,553.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.