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Finding the Third Proportional to 344,037 and 729,870

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Solution

The third proportional to 344,037 and 729,870 is: 1,548,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,037 : 729,870 = 729,870 : x
  2. Step 2: Convert to fraction form
    344,037/729,870 = 729,870/x
  3. Step 3: Cross multiply
    344,037x = 729,870 × 729,870
  4. Step 4: Simplify right side
    344,037x = 532,710,216,900
  5. Step 5: Solve for x
    x = 532,710,216,900/344,037
  6. Step 6: Final answer
    x = 1,548,409.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.