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Finding the Third Proportional to 364,047 and 569,837

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Solution

The third proportional to 364,047 and 569,837 is: 891,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,047 : 569,837 = 569,837 : x
  2. Step 2: Convert to fraction form
    364,047/569,837 = 569,837/x
  3. Step 3: Cross multiply
    364,047x = 569,837 × 569,837
  4. Step 4: Simplify right side
    364,047x = 324,714,206,569
  5. Step 5: Solve for x
    x = 324,714,206,569/364,047
  6. Step 6: Final answer
    x = 891,956.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.