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Finding the Third Proportional to 569,659.50 and 858,141

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Solution

The third proportional to 569,659.50 and 858,141 is: 1,292,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,659.50 : 858,141 = 858,141 : x
  2. Step 2: Convert to fraction form
    569,659.50/858,141 = 858,141/x
  3. Step 3: Cross multiply
    569,659.50x = 858,141 × 858,141
  4. Step 4: Simplify right side
    569,659.50x = 736,405,975,881
  5. Step 5: Solve for x
    x = 736,405,975,881/569,659.50
  6. Step 6: Final answer
    x = 1,292,712.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.