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Finding the Third Proportional to 245,706 and 535,880

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Solution

The third proportional to 245,706 and 535,880 is: 1,168,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,706 : 535,880 = 535,880 : x
  2. Step 2: Convert to fraction form
    245,706/535,880 = 535,880/x
  3. Step 3: Cross multiply
    245,706x = 535,880 × 535,880
  4. Step 4: Simplify right side
    245,706x = 287,167,374,400
  5. Step 5: Solve for x
    x = 287,167,374,400/245,706
  6. Step 6: Final answer
    x = 1,168,743.84

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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.