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Finding the Third Proportional to 233,926 and 492,293

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Solution

The third proportional to 233,926 and 492,293 is: 1,036,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,926 : 492,293 = 492,293 : x
  2. Step 2: Convert to fraction form
    233,926/492,293 = 492,293/x
  3. Step 3: Cross multiply
    233,926x = 492,293 × 492,293
  4. Step 4: Simplify right side
    233,926x = 242,352,397,849
  5. Step 5: Solve for x
    x = 242,352,397,849/233,926
  6. Step 6: Final answer
    x = 1,036,021.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.