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Finding the Third Proportional to 341,683.50 and 725,412

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Solution

The third proportional to 341,683.50 and 725,412 is: 1,540,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,683.50 : 725,412 = 725,412 : x
  2. Step 2: Convert to fraction form
    341,683.50/725,412 = 725,412/x
  3. Step 3: Cross multiply
    341,683.50x = 725,412 × 725,412
  4. Step 4: Simplify right side
    341,683.50x = 526,222,569,744
  5. Step 5: Solve for x
    x = 526,222,569,744/341,683.50
  6. Step 6: Final answer
    x = 1,540,087.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.