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Finding the Third Proportional to 336,673.50 and 725,823

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Solution

The third proportional to 336,673.50 and 725,823 is: 1,564,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,673.50 : 725,823 = 725,823 : x
  2. Step 2: Convert to fraction form
    336,673.50/725,823 = 725,823/x
  3. Step 3: Cross multiply
    336,673.50x = 725,823 × 725,823
  4. Step 4: Simplify right side
    336,673.50x = 526,819,027,329
  5. Step 5: Solve for x
    x = 526,819,027,329/336,673.50
  6. Step 6: Final answer
    x = 1,564,777.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.