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Finding the Third Proportional to 233,349.75 and 508,934.25

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Solution

The third proportional to 233,349.75 and 508,934.25 is: 1,109,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,349.75 : 508,934.25 = 508,934.25 : x
  2. Step 2: Convert to fraction form
    233,349.75/508,934.25 = 508,934.25/x
  3. Step 3: Cross multiply
    233,349.75x = 508,934.25 × 508,934.25
  4. Step 4: Simplify right side
    233,349.75x = 259,014,070,823.06
  5. Step 5: Solve for x
    x = 259,014,070,823.06/233,349.75
  6. Step 6: Final answer
    x = 1,109,982.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.