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Finding the Third Proportional to 584,218 and 940,583

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Solution

The third proportional to 584,218 and 940,583 is: 1,514,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,218 : 940,583 = 940,583 : x
  2. Step 2: Convert to fraction form
    584,218/940,583 = 940,583/x
  3. Step 3: Cross multiply
    584,218x = 940,583 × 940,583
  4. Step 4: Simplify right side
    584,218x = 884,696,379,889
  5. Step 5: Solve for x
    x = 884,696,379,889/584,218
  6. Step 6: Final answer
    x = 1,514,325.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.