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Finding the Third Proportional to 404,818 and 594,091

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Solution

The third proportional to 404,818 and 594,091 is: 871,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,818 : 594,091 = 594,091 : x
  2. Step 2: Convert to fraction form
    404,818/594,091 = 594,091/x
  3. Step 3: Cross multiply
    404,818x = 594,091 × 594,091
  4. Step 4: Simplify right side
    404,818x = 352,944,116,281
  5. Step 5: Solve for x
    x = 352,944,116,281/404,818
  6. Step 6: Final answer
    x = 871,858.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.