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Finding the Third Proportional to 194,807 and 468,023

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Solution

The third proportional to 194,807 and 468,023 is: 1,124,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,807 : 468,023 = 468,023 : x
  2. Step 2: Convert to fraction form
    194,807/468,023 = 468,023/x
  3. Step 3: Cross multiply
    194,807x = 468,023 × 468,023
  4. Step 4: Simplify right side
    194,807x = 219,045,528,529
  5. Step 5: Solve for x
    x = 219,045,528,529/194,807
  6. Step 6: Final answer
    x = 1,124,423.29

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.