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Finding the Third Proportional to 233,844 and 505,050

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Solution

The third proportional to 233,844 and 505,050 is: 1,090,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,844 : 505,050 = 505,050 : x
  2. Step 2: Convert to fraction form
    233,844/505,050 = 505,050/x
  3. Step 3: Cross multiply
    233,844x = 505,050 × 505,050
  4. Step 4: Simplify right side
    233,844x = 255,075,502,500
  5. Step 5: Solve for x
    x = 255,075,502,500/233,844
  6. Step 6: Final answer
    x = 1,090,793.45

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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.