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Finding the Third Proportional to 291,888 and 372,970

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Solution

The third proportional to 291,888 and 372,970 is: 476,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,888 : 372,970 = 372,970 : x
  2. Step 2: Convert to fraction form
    291,888/372,970 = 372,970/x
  3. Step 3: Cross multiply
    291,888x = 372,970 × 372,970
  4. Step 4: Simplify right side
    291,888x = 139,106,620,900
  5. Step 5: Solve for x
    x = 139,106,620,900/291,888
  6. Step 6: Final answer
    x = 476,575.33

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.