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Finding the Third Proportional to 409,748.63 and 835,737.75

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Solution

The third proportional to 409,748.63 and 835,737.75 is: 1,704,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,748.63 : 835,737.75 = 835,737.75 : x
  2. Step 2: Convert to fraction form
    409,748.63/835,737.75 = 835,737.75/x
  3. Step 3: Cross multiply
    409,748.63x = 835,737.75 × 835,737.75
  4. Step 4: Simplify right side
    409,748.63x = 698,457,586,775.06
  5. Step 5: Solve for x
    x = 698,457,586,775.06/409,748.63
  6. Step 6: Final answer
    x = 1,704,600.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.