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Finding the Third Proportional to 233,444 and 354,783

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Solution

The third proportional to 233,444 and 354,783 is: 539,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,444 : 354,783 = 354,783 : x
  2. Step 2: Convert to fraction form
    233,444/354,783 = 354,783/x
  3. Step 3: Cross multiply
    233,444x = 354,783 × 354,783
  4. Step 4: Simplify right side
    233,444x = 125,870,977,089
  5. Step 5: Solve for x
    x = 125,870,977,089/233,444
  6. Step 6: Final answer
    x = 539,191.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.