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Finding the Third Proportional to 258,910 and 349,804

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Solution

The third proportional to 258,910 and 349,804 is: 472,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,910 : 349,804 = 349,804 : x
  2. Step 2: Convert to fraction form
    258,910/349,804 = 349,804/x
  3. Step 3: Cross multiply
    258,910x = 349,804 × 349,804
  4. Step 4: Simplify right side
    258,910x = 122,362,838,416
  5. Step 5: Solve for x
    x = 122,362,838,416/258,910
  6. Step 6: Final answer
    x = 472,607.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.