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Finding the Third Proportional to 245,770 and 535,244

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Solution

The third proportional to 245,770 and 535,244 is: 1,165,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,770 : 535,244 = 535,244 : x
  2. Step 2: Convert to fraction form
    245,770/535,244 = 535,244/x
  3. Step 3: Cross multiply
    245,770x = 535,244 × 535,244
  4. Step 4: Simplify right side
    245,770x = 286,486,139,536
  5. Step 5: Solve for x
    x = 286,486,139,536/245,770
  6. Step 6: Final answer
    x = 1,165,667.65

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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.