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Finding the Third Proportional to 307,833.75 and 460,512

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Solution

The third proportional to 307,833.75 and 460,512 is: 688,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,833.75 : 460,512 = 460,512 : x
  2. Step 2: Convert to fraction form
    307,833.75/460,512 = 460,512/x
  3. Step 3: Cross multiply
    307,833.75x = 460,512 × 460,512
  4. Step 4: Simplify right side
    307,833.75x = 212,071,302,144
  5. Step 5: Solve for x
    x = 212,071,302,144/307,833.75
  6. Step 6: Final answer
    x = 688,915.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.