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Finding the Third Proportional to 310,045 and 438,837

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Solution

The third proportional to 310,045 and 438,837 is: 621,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,045 : 438,837 = 438,837 : x
  2. Step 2: Convert to fraction form
    310,045/438,837 = 438,837/x
  3. Step 3: Cross multiply
    310,045x = 438,837 × 438,837
  4. Step 4: Simplify right side
    310,045x = 192,577,912,569
  5. Step 5: Solve for x
    x = 192,577,912,569/310,045
  6. Step 6: Final answer
    x = 621,128.91

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.