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Finding the Third Proportional to 329,620.50 and 705,897

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Solution

The third proportional to 329,620.50 and 705,897 is: 1,511,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,620.50 : 705,897 = 705,897 : x
  2. Step 2: Convert to fraction form
    329,620.50/705,897 = 705,897/x
  3. Step 3: Cross multiply
    329,620.50x = 705,897 × 705,897
  4. Step 4: Simplify right side
    329,620.50x = 498,290,574,609
  5. Step 5: Solve for x
    x = 498,290,574,609/329,620.50
  6. Step 6: Final answer
    x = 1,511,709.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.