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Finding the Third Proportional to 359,738 and 777,106

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Solution

The third proportional to 359,738 and 777,106 is: 1,678,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,738 : 777,106 = 777,106 : x
  2. Step 2: Convert to fraction form
    359,738/777,106 = 777,106/x
  3. Step 3: Cross multiply
    359,738x = 777,106 × 777,106
  4. Step 4: Simplify right side
    359,738x = 603,893,735,236
  5. Step 5: Solve for x
    x = 603,893,735,236/359,738
  6. Step 6: Final answer
    x = 1,678,704.32

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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.