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Finding the Third Proportional to 368,775 and 569,538

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Solution

The third proportional to 368,775 and 569,538 is: 879,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,775 : 569,538 = 569,538 : x
  2. Step 2: Convert to fraction form
    368,775/569,538 = 569,538/x
  3. Step 3: Cross multiply
    368,775x = 569,538 × 569,538
  4. Step 4: Simplify right side
    368,775x = 324,373,533,444
  5. Step 5: Solve for x
    x = 324,373,533,444/368,775
  6. Step 6: Final answer
    x = 879,597.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.