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Finding the Third Proportional to 605,632 and 940,430

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Solution

The third proportional to 605,632 and 940,430 is: 1,460,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,632 : 940,430 = 940,430 : x
  2. Step 2: Convert to fraction form
    605,632/940,430 = 940,430/x
  3. Step 3: Cross multiply
    605,632x = 940,430 × 940,430
  4. Step 4: Simplify right side
    605,632x = 884,408,584,900
  5. Step 5: Solve for x
    x = 884,408,584,900/605,632
  6. Step 6: Final answer
    x = 1,460,306.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.