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Finding the Third Proportional to 245,021.06 and 527,575.50

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Solution

The third proportional to 245,021.06 and 527,575.50 is: 1,135,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,021.06 : 527,575.50 = 527,575.50 : x
  2. Step 2: Convert to fraction form
    245,021.06/527,575.50 = 527,575.50/x
  3. Step 3: Cross multiply
    245,021.06x = 527,575.50 × 527,575.50
  4. Step 4: Simplify right side
    245,021.06x = 278,335,908,200.25
  5. Step 5: Solve for x
    x = 278,335,908,200.25/245,021.06
  6. Step 6: Final answer
    x = 1,135,967.27

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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.