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Finding the Third Proportional to 324,012 and 504,702

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Solution

The third proportional to 324,012 and 504,702 is: 786,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,012 : 504,702 = 504,702 : x
  2. Step 2: Convert to fraction form
    324,012/504,702 = 504,702/x
  3. Step 3: Cross multiply
    324,012x = 504,702 × 504,702
  4. Step 4: Simplify right side
    324,012x = 254,724,108,804
  5. Step 5: Solve for x
    x = 254,724,108,804/324,012
  6. Step 6: Final answer
    x = 786,156.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.