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Finding the Third Proportional to 404,770 and 584,768

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Solution

The third proportional to 404,770 and 584,768 is: 844,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,770 : 584,768 = 584,768 : x
  2. Step 2: Convert to fraction form
    404,770/584,768 = 584,768/x
  3. Step 3: Cross multiply
    404,770x = 584,768 × 584,768
  4. Step 4: Simplify right side
    404,770x = 341,953,613,824
  5. Step 5: Solve for x
    x = 341,953,613,824/404,770
  6. Step 6: Final answer
    x = 844,809.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.