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Finding the Third Proportional to 584,220 and 940,586

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Solution

The third proportional to 584,220 and 940,586 is: 1,514,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,220 : 940,586 = 940,586 : x
  2. Step 2: Convert to fraction form
    584,220/940,586 = 940,586/x
  3. Step 3: Cross multiply
    584,220x = 940,586 × 940,586
  4. Step 4: Simplify right side
    584,220x = 884,702,023,396
  5. Step 5: Solve for x
    x = 884,702,023,396/584,220
  6. Step 6: Final answer
    x = 1,514,330.26

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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.