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Finding the Third Proportional to 400,032 and 584,246

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Solution

The third proportional to 400,032 and 584,246 is: 853,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,032 : 584,246 = 584,246 : x
  2. Step 2: Convert to fraction form
    400,032/584,246 = 584,246/x
  3. Step 3: Cross multiply
    400,032x = 584,246 × 584,246
  4. Step 4: Simplify right side
    400,032x = 341,343,388,516
  5. Step 5: Solve for x
    x = 341,343,388,516/400,032
  6. Step 6: Final answer
    x = 853,290.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.