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Finding the Third Proportional to 436,971 and 590,380.50

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Solution

The third proportional to 436,971 and 590,380.50 is: 797,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,971 : 590,380.50 = 590,380.50 : x
  2. Step 2: Convert to fraction form
    436,971/590,380.50 = 590,380.50/x
  3. Step 3: Cross multiply
    436,971x = 590,380.50 × 590,380.50
  4. Step 4: Simplify right side
    436,971x = 348,549,134,780.25
  5. Step 5: Solve for x
    x = 348,549,134,780.25/436,971
  6. Step 6: Final answer
    x = 797,648.21

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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.