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Finding the Third Proportional to 420,304.50 and 899,658

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Solution

The third proportional to 420,304.50 and 899,658 is: 1,925,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,304.50 : 899,658 = 899,658 : x
  2. Step 2: Convert to fraction form
    420,304.50/899,658 = 899,658/x
  3. Step 3: Cross multiply
    420,304.50x = 899,658 × 899,658
  4. Step 4: Simplify right side
    420,304.50x = 809,384,516,964
  5. Step 5: Solve for x
    x = 809,384,516,964/420,304.50
  6. Step 6: Final answer
    x = 1,925,709.85

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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.