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Finding the Third Proportional to 258,948 and 349,860

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Solution

The third proportional to 258,948 and 349,860 is: 472,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,948 : 349,860 = 349,860 : x
  2. Step 2: Convert to fraction form
    258,948/349,860 = 349,860/x
  3. Step 3: Cross multiply
    258,948x = 349,860 × 349,860
  4. Step 4: Simplify right side
    258,948x = 122,402,019,600
  5. Step 5: Solve for x
    x = 122,402,019,600/258,948
  6. Step 6: Final answer
    x = 472,689.57

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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.