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Finding the Third Proportional to 292,218 and 629,958

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Solution

The third proportional to 292,218 and 629,958 is: 1,358,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,218 : 629,958 = 629,958 : x
  2. Step 2: Convert to fraction form
    292,218/629,958 = 629,958/x
  3. Step 3: Cross multiply
    292,218x = 629,958 × 629,958
  4. Step 4: Simplify right side
    292,218x = 396,847,081,764
  5. Step 5: Solve for x
    x = 396,847,081,764/292,218
  6. Step 6: Final answer
    x = 1,358,051.46

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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.