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Finding the Third Proportional to 233,726 and 504,820

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Solution

The third proportional to 233,726 and 504,820 is: 1,090,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,726 : 504,820 = 504,820 : x
  2. Step 2: Convert to fraction form
    233,726/504,820 = 504,820/x
  3. Step 3: Cross multiply
    233,726x = 504,820 × 504,820
  4. Step 4: Simplify right side
    233,726x = 254,843,232,400
  5. Step 5: Solve for x
    x = 254,843,232,400/233,726
  6. Step 6: Final answer
    x = 1,090,350.38

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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.