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Finding the Third Proportional to 241,849 and 562,157

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Solution

The third proportional to 241,849 and 562,157 is: 1,306,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,849 : 562,157 = 562,157 : x
  2. Step 2: Convert to fraction form
    241,849/562,157 = 562,157/x
  3. Step 3: Cross multiply
    241,849x = 562,157 × 562,157
  4. Step 4: Simplify right side
    241,849x = 316,020,492,649
  5. Step 5: Solve for x
    x = 316,020,492,649/241,849
  6. Step 6: Final answer
    x = 1,306,685.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.