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Finding the Third Proportional to 359,971 and 777,670

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Solution

The third proportional to 359,971 and 777,670 is: 1,680,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,971 : 777,670 = 777,670 : x
  2. Step 2: Convert to fraction form
    359,971/777,670 = 777,670/x
  3. Step 3: Cross multiply
    359,971x = 777,670 × 777,670
  4. Step 4: Simplify right side
    359,971x = 604,770,628,900
  5. Step 5: Solve for x
    x = 604,770,628,900/359,971
  6. Step 6: Final answer
    x = 1,680,053.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.