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Finding the Third Proportional to 241,317 and 514,683

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Solution

The third proportional to 241,317 and 514,683 is: 1,097,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,317 : 514,683 = 514,683 : x
  2. Step 2: Convert to fraction form
    241,317/514,683 = 514,683/x
  3. Step 3: Cross multiply
    241,317x = 514,683 × 514,683
  4. Step 4: Simplify right side
    241,317x = 264,898,590,489
  5. Step 5: Solve for x
    x = 264,898,590,489/241,317
  6. Step 6: Final answer
    x = 1,097,720.39

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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.