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Finding the Third Proportional to 241,562.25 and 514,228.50

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Solution

The third proportional to 241,562.25 and 514,228.50 is: 1,094,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,562.25 : 514,228.50 = 514,228.50 : x
  2. Step 2: Convert to fraction form
    241,562.25/514,228.50 = 514,228.50/x
  3. Step 3: Cross multiply
    241,562.25x = 514,228.50 × 514,228.50
  4. Step 4: Simplify right side
    241,562.25x = 264,430,950,212.25
  5. Step 5: Solve for x
    x = 264,430,950,212.25/241,562.25
  6. Step 6: Final answer
    x = 1,094,670.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.