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Finding the Third Proportional to 233,850 and 505,066

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Solution

The third proportional to 233,850 and 505,066 is: 1,090,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,850 : 505,066 = 505,066 : x
  2. Step 2: Convert to fraction form
    233,850/505,066 = 505,066/x
  3. Step 3: Cross multiply
    233,850x = 505,066 × 505,066
  4. Step 4: Simplify right side
    233,850x = 255,091,664,356
  5. Step 5: Solve for x
    x = 255,091,664,356/233,850
  6. Step 6: Final answer
    x = 1,090,834.57

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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.