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Finding the Third Proportional to 241,191 and 529,038

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Solution

The third proportional to 241,191 and 529,038 is: 1,160,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,191 : 529,038 = 529,038 : x
  2. Step 2: Convert to fraction form
    241,191/529,038 = 529,038/x
  3. Step 3: Cross multiply
    241,191x = 529,038 × 529,038
  4. Step 4: Simplify right side
    241,191x = 279,881,205,444
  5. Step 5: Solve for x
    x = 279,881,205,444/241,191
  6. Step 6: Final answer
    x = 1,160,413.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.