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Finding the Third Proportional to 584,216 and 940,580

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Solution

The third proportional to 584,216 and 940,580 is: 1,514,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,216 : 940,580 = 940,580 : x
  2. Step 2: Convert to fraction form
    584,216/940,580 = 940,580/x
  3. Step 3: Cross multiply
    584,216x = 940,580 × 940,580
  4. Step 4: Simplify right side
    584,216x = 884,690,736,400
  5. Step 5: Solve for x
    x = 884,690,736,400/584,216
  6. Step 6: Final answer
    x = 1,514,321.31

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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.