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Finding the Third Proportional to 356,010 and 777,666

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Solution

The third proportional to 356,010 and 777,666 is: 1,698,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,010 : 777,666 = 777,666 : x
  2. Step 2: Convert to fraction form
    356,010/777,666 = 777,666/x
  3. Step 3: Cross multiply
    356,010x = 777,666 × 777,666
  4. Step 4: Simplify right side
    356,010x = 604,764,407,556
  5. Step 5: Solve for x
    x = 604,764,407,556/356,010
  6. Step 6: Final answer
    x = 1,698,728.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.