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Finding the Third Proportional to 359,728 and 544,968

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Solution

The third proportional to 359,728 and 544,968 is: 825,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,728 : 544,968 = 544,968 : x
  2. Step 2: Convert to fraction form
    359,728/544,968 = 544,968/x
  3. Step 3: Cross multiply
    359,728x = 544,968 × 544,968
  4. Step 4: Simplify right side
    359,728x = 296,990,121,024
  5. Step 5: Solve for x
    x = 296,990,121,024/359,728
  6. Step 6: Final answer
    x = 825,596.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.