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Finding the Third Proportional to 248,406 and 531,804

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Solution

The third proportional to 248,406 and 531,804 is: 1,138,521.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,406 : 531,804 = 531,804 : x
  2. Step 2: Convert to fraction form
    248,406/531,804 = 531,804/x
  3. Step 3: Cross multiply
    248,406x = 531,804 × 531,804
  4. Step 4: Simplify right side
    248,406x = 282,815,494,416
  5. Step 5: Solve for x
    x = 282,815,494,416/248,406
  6. Step 6: Final answer
    x = 1,138,521.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.