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Finding the Third Proportional to 641,178 and 996,768

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Solution

The third proportional to 641,178 and 996,768 is: 1,549,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,178 : 996,768 = 996,768 : x
  2. Step 2: Convert to fraction form
    641,178/996,768 = 996,768/x
  3. Step 3: Cross multiply
    641,178x = 996,768 × 996,768
  4. Step 4: Simplify right side
    641,178x = 993,546,445,824
  5. Step 5: Solve for x
    x = 993,546,445,824/641,178
  6. Step 6: Final answer
    x = 1,549,564.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.