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Finding the Third Proportional to 241,849 and 562,157.50

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Solution

The third proportional to 241,849 and 562,157.50 is: 1,306,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,849 : 562,157.50 = 562,157.50 : x
  2. Step 2: Convert to fraction form
    241,849/562,157.50 = 562,157.50/x
  3. Step 3: Cross multiply
    241,849x = 562,157.50 × 562,157.50
  4. Step 4: Simplify right side
    241,849x = 316,021,054,806.25
  5. Step 5: Solve for x
    x = 316,021,054,806.25/241,849
  6. Step 6: Final answer
    x = 1,306,687.46

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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.