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Finding the Third Proportional to 333,193.50 and 715,635

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Solution

The third proportional to 333,193.50 and 715,635 is: 1,537,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,193.50 : 715,635 = 715,635 : x
  2. Step 2: Convert to fraction form
    333,193.50/715,635 = 715,635/x
  3. Step 3: Cross multiply
    333,193.50x = 715,635 × 715,635
  4. Step 4: Simplify right side
    333,193.50x = 512,133,453,225
  5. Step 5: Solve for x
    x = 512,133,453,225/333,193.50
  6. Step 6: Final answer
    x = 1,537,045.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.