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Finding the Third Proportional to 462,481.75 and 975,574.50

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Solution

The third proportional to 462,481.75 and 975,574.50 is: 2,057,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,481.75 : 975,574.50 = 975,574.50 : x
  2. Step 2: Convert to fraction form
    462,481.75/975,574.50 = 975,574.50/x
  3. Step 3: Cross multiply
    462,481.75x = 975,574.50 × 975,574.50
  4. Step 4: Simplify right side
    462,481.75x = 951,745,605,050.25
  5. Step 5: Solve for x
    x = 951,745,605,050.25/462,481.75
  6. Step 6: Final answer
    x = 2,057,909.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.