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Finding the Third Proportional to 423,804 and 640,026

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Solution

The third proportional to 423,804 and 640,026 is: 966,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,804 : 640,026 = 640,026 : x
  2. Step 2: Convert to fraction form
    423,804/640,026 = 640,026/x
  3. Step 3: Cross multiply
    423,804x = 640,026 × 640,026
  4. Step 4: Simplify right side
    423,804x = 409,633,280,676
  5. Step 5: Solve for x
    x = 409,633,280,676/423,804
  6. Step 6: Final answer
    x = 966,563.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.