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Finding the Third Proportional to 241,395.75 and 530,050.50

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Solution

The third proportional to 241,395.75 and 530,050.50 is: 1,163,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,395.75 : 530,050.50 = 530,050.50 : x
  2. Step 2: Convert to fraction form
    241,395.75/530,050.50 = 530,050.50/x
  3. Step 3: Cross multiply
    241,395.75x = 530,050.50 × 530,050.50
  4. Step 4: Simplify right side
    241,395.75x = 280,953,532,550.25
  5. Step 5: Solve for x
    x = 280,953,532,550.25/241,395.75
  6. Step 6: Final answer
    x = 1,163,871.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.