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Finding the Third Proportional to 337,587.75 and 518,683.50

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Solution

The third proportional to 337,587.75 and 518,683.50 is: 796,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,587.75 : 518,683.50 = 518,683.50 : x
  2. Step 2: Convert to fraction form
    337,587.75/518,683.50 = 518,683.50/x
  3. Step 3: Cross multiply
    337,587.75x = 518,683.50 × 518,683.50
  4. Step 4: Simplify right side
    337,587.75x = 269,032,573,172.25
  5. Step 5: Solve for x
    x = 269,032,573,172.25/337,587.75
  6. Step 6: Final answer
    x = 796,926.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.