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Finding the Third Proportional to 662,576 and 882,768

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Solution

The third proportional to 662,576 and 882,768 is: 1,176,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,576 : 882,768 = 882,768 : x
  2. Step 2: Convert to fraction form
    662,576/882,768 = 882,768/x
  3. Step 3: Cross multiply
    662,576x = 882,768 × 882,768
  4. Step 4: Simplify right side
    662,576x = 779,279,341,824
  5. Step 5: Solve for x
    x = 779,279,341,824/662,576
  6. Step 6: Final answer
    x = 1,176,135.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.