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Finding the Third Proportional to 245,760 and 535,224

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Solution

The third proportional to 245,760 and 535,224 is: 1,165,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,760 : 535,224 = 535,224 : x
  2. Step 2: Convert to fraction form
    245,760/535,224 = 535,224/x
  3. Step 3: Cross multiply
    245,760x = 535,224 × 535,224
  4. Step 4: Simplify right side
    245,760x = 286,464,730,176
  5. Step 5: Solve for x
    x = 286,464,730,176/245,760
  6. Step 6: Final answer
    x = 1,165,627.97

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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.