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Finding the Third Proportional to 281,925 and 587,176.50

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Solution

The third proportional to 281,925 and 587,176.50 is: 1,222,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,925 : 587,176.50 = 587,176.50 : x
  2. Step 2: Convert to fraction form
    281,925/587,176.50 = 587,176.50/x
  3. Step 3: Cross multiply
    281,925x = 587,176.50 × 587,176.50
  4. Step 4: Simplify right side
    281,925x = 344,776,242,152.25
  5. Step 5: Solve for x
    x = 344,776,242,152.25/281,925
  6. Step 6: Final answer
    x = 1,222,936.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.