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Finding the Third Proportional to 359,974 and 777,676

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Solution

The third proportional to 359,974 and 777,676 is: 1,680,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,974 : 777,676 = 777,676 : x
  2. Step 2: Convert to fraction form
    359,974/777,676 = 777,676/x
  3. Step 3: Cross multiply
    359,974x = 777,676 × 777,676
  4. Step 4: Simplify right side
    359,974x = 604,779,960,976
  5. Step 5: Solve for x
    x = 604,779,960,976/359,974
  6. Step 6: Final answer
    x = 1,680,065.67

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Why These Related Problems?

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