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Finding the Third Proportional to 436,968 and 590,376

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Solution

The third proportional to 436,968 and 590,376 is: 797,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,968 : 590,376 = 590,376 : x
  2. Step 2: Convert to fraction form
    436,968/590,376 = 590,376/x
  3. Step 3: Cross multiply
    436,968x = 590,376 × 590,376
  4. Step 4: Simplify right side
    436,968x = 348,543,821,376
  5. Step 5: Solve for x
    x = 348,543,821,376/436,968
  6. Step 6: Final answer
    x = 797,641.52

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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.