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Finding the Third Proportional to 436,968 and 598,020

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Solution

The third proportional to 436,968 and 598,020 is: 818,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,968 : 598,020 = 598,020 : x
  2. Step 2: Convert to fraction form
    436,968/598,020 = 598,020/x
  3. Step 3: Cross multiply
    436,968x = 598,020 × 598,020
  4. Step 4: Simplify right side
    436,968x = 357,627,920,400
  5. Step 5: Solve for x
    x = 357,627,920,400/436,968
  6. Step 6: Final answer
    x = 818,430.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.