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Finding the Third Proportional to 233,072 and 349,480

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Solution

The third proportional to 233,072 and 349,480 is: 524,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,072 : 349,480 = 349,480 : x
  2. Step 2: Convert to fraction form
    233,072/349,480 = 349,480/x
  3. Step 3: Cross multiply
    233,072x = 349,480 × 349,480
  4. Step 4: Simplify right side
    233,072x = 122,136,270,400
  5. Step 5: Solve for x
    x = 122,136,270,400/233,072
  6. Step 6: Final answer
    x = 524,028.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.