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Finding the Third Proportional to 233,173 and 502,024

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Solution

The third proportional to 233,173 and 502,024 is: 1,080,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,173 : 502,024 = 502,024 : x
  2. Step 2: Convert to fraction form
    233,173/502,024 = 502,024/x
  3. Step 3: Cross multiply
    233,173x = 502,024 × 502,024
  4. Step 4: Simplify right side
    233,173x = 252,028,096,576
  5. Step 5: Solve for x
    x = 252,028,096,576/233,173
  6. Step 6: Final answer
    x = 1,080,863.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.