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Finding the Third Proportional to 233,750 and 504,882

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Solution

The third proportional to 233,750 and 504,882 is: 1,090,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,750 : 504,882 = 504,882 : x
  2. Step 2: Convert to fraction form
    233,750/504,882 = 504,882/x
  3. Step 3: Cross multiply
    233,750x = 504,882 × 504,882
  4. Step 4: Simplify right side
    233,750x = 254,905,833,924
  5. Step 5: Solve for x
    x = 254,905,833,924/233,750
  6. Step 6: Final answer
    x = 1,090,506.24

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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.