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Finding the Third Proportional to 245,684 and 535,837

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Solution

The third proportional to 245,684 and 535,837 is: 1,168,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,684 : 535,837 = 535,837 : x
  2. Step 2: Convert to fraction form
    245,684/535,837 = 535,837/x
  3. Step 3: Cross multiply
    245,684x = 535,837 × 535,837
  4. Step 4: Simplify right side
    245,684x = 287,121,290,569
  5. Step 5: Solve for x
    x = 287,121,290,569/245,684
  6. Step 6: Final answer
    x = 1,168,660.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.