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Finding the Third Proportional to 253,795 and 357,083

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Solution

The third proportional to 253,795 and 357,083 is: 502,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,795 : 357,083 = 357,083 : x
  2. Step 2: Convert to fraction form
    253,795/357,083 = 357,083/x
  3. Step 3: Cross multiply
    253,795x = 357,083 × 357,083
  4. Step 4: Simplify right side
    253,795x = 127,508,268,889
  5. Step 5: Solve for x
    x = 127,508,268,889/253,795
  6. Step 6: Final answer
    x = 502,406.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.