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Finding the Third Proportional to 233,404 and 371,570

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Solution

The third proportional to 233,404 and 371,570 is: 591,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,404 : 371,570 = 371,570 : x
  2. Step 2: Convert to fraction form
    233,404/371,570 = 371,570/x
  3. Step 3: Cross multiply
    233,404x = 371,570 × 371,570
  4. Step 4: Simplify right side
    233,404x = 138,064,264,900
  5. Step 5: Solve for x
    x = 138,064,264,900/233,404
  6. Step 6: Final answer
    x = 591,524.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.