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Finding the Third Proportional to 335,841.19 and 723,657.80

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Solution

The third proportional to 335,841.19 and 723,657.80 is: 1,559,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,841.19 : 723,657.80 = 723,657.80 : x
  2. Step 2: Convert to fraction form
    335,841.19/723,657.80 = 723,657.80/x
  3. Step 3: Cross multiply
    335,841.19x = 723,657.80 × 723,657.80
  4. Step 4: Simplify right side
    335,841.19x = 523,680,606,977.98
  5. Step 5: Solve for x
    x = 523,680,606,977.98/335,841.19
  6. Step 6: Final answer
    x = 1,559,310.25

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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.