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Finding the Third Proportional to 245,742.75 and 529,179.75

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Solution

The third proportional to 245,742.75 and 529,179.75 is: 1,139,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,742.75 : 529,179.75 = 529,179.75 : x
  2. Step 2: Convert to fraction form
    245,742.75/529,179.75 = 529,179.75/x
  3. Step 3: Cross multiply
    245,742.75x = 529,179.75 × 529,179.75
  4. Step 4: Simplify right side
    245,742.75x = 280,031,207,810.06
  5. Step 5: Solve for x
    x = 280,031,207,810.06/245,742.75
  6. Step 6: Final answer
    x = 1,139,529.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.