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Finding the Third Proportional to 334,219.50 and 721,703.25

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Solution

The third proportional to 334,219.50 and 721,703.25 is: 1,558,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,219.50 : 721,703.25 = 721,703.25 : x
  2. Step 2: Convert to fraction form
    334,219.50/721,703.25 = 721,703.25/x
  3. Step 3: Cross multiply
    334,219.50x = 721,703.25 × 721,703.25
  4. Step 4: Simplify right side
    334,219.50x = 520,855,581,060.56
  5. Step 5: Solve for x
    x = 520,855,581,060.56/334,219.50
  6. Step 6: Final answer
    x = 1,558,423.67

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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.