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Finding the Third Proportional to 241,380 and 514,815.75

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Solution

The third proportional to 241,380 and 514,815.75 is: 1,098,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,380 : 514,815.75 = 514,815.75 : x
  2. Step 2: Convert to fraction form
    241,380/514,815.75 = 514,815.75/x
  3. Step 3: Cross multiply
    241,380x = 514,815.75 × 514,815.75
  4. Step 4: Simplify right side
    241,380x = 265,035,256,448.06
  5. Step 5: Solve for x
    x = 265,035,256,448.06/241,380
  6. Step 6: Final answer
    x = 1,098,000.07

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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.