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Finding the Third Proportional to 258,362 and 554,095

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Solution

The third proportional to 258,362 and 554,095 is: 1,188,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,362 : 554,095 = 554,095 : x
  2. Step 2: Convert to fraction form
    258,362/554,095 = 554,095/x
  3. Step 3: Cross multiply
    258,362x = 554,095 × 554,095
  4. Step 4: Simplify right side
    258,362x = 307,021,269,025
  5. Step 5: Solve for x
    x = 307,021,269,025/258,362
  6. Step 6: Final answer
    x = 1,188,337.56

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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.