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Finding the Third Proportional to 280,412.72 and 611,577.84

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Solution

The third proportional to 280,412.72 and 611,577.84 is: 1,333,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,412.72 : 611,577.84 = 611,577.84 : x
  2. Step 2: Convert to fraction form
    280,412.72/611,577.84 = 611,577.84/x
  3. Step 3: Cross multiply
    280,412.72x = 611,577.84 × 611,577.84
  4. Step 4: Simplify right side
    280,412.72x = 374,027,458,965.90
  5. Step 5: Solve for x
    x = 374,027,458,965.90/280,412.72
  6. Step 6: Final answer
    x = 1,333,846.27

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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.