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Finding the Third Proportional to 245,699 and 535,867

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Solution

The third proportional to 245,699 and 535,867 is: 1,168,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,699 : 535,867 = 535,867 : x
  2. Step 2: Convert to fraction form
    245,699/535,867 = 535,867/x
  3. Step 3: Cross multiply
    245,699x = 535,867 × 535,867
  4. Step 4: Simplify right side
    245,699x = 287,153,441,689
  5. Step 5: Solve for x
    x = 287,153,441,689/245,699
  6. Step 6: Final answer
    x = 1,168,720.43

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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.