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Finding the Third Proportional to 245,698 and 535,865

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Solution

The third proportional to 245,698 and 535,865 is: 1,168,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,698 : 535,865 = 535,865 : x
  2. Step 2: Convert to fraction form
    245,698/535,865 = 535,865/x
  3. Step 3: Cross multiply
    245,698x = 535,865 × 535,865
  4. Step 4: Simplify right side
    245,698x = 287,151,298,225
  5. Step 5: Solve for x
    x = 287,151,298,225/245,698
  6. Step 6: Final answer
    x = 1,168,716.47

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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.