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Finding the Third Proportional to 402,718 and 882,936

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Solution

The third proportional to 402,718 and 882,936 is: 1,935,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,718 : 882,936 = 882,936 : x
  2. Step 2: Convert to fraction form
    402,718/882,936 = 882,936/x
  3. Step 3: Cross multiply
    402,718x = 882,936 × 882,936
  4. Step 4: Simplify right side
    402,718x = 779,575,980,096
  5. Step 5: Solve for x
    x = 779,575,980,096/402,718
  6. Step 6: Final answer
    x = 1,935,786.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.