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Finding the Third Proportional to 476,563.88 and 726,026.25

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Solution

The third proportional to 476,563.88 and 726,026.25 is: 1,106,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,563.88 : 726,026.25 = 726,026.25 : x
  2. Step 2: Convert to fraction form
    476,563.88/726,026.25 = 726,026.25/x
  3. Step 3: Cross multiply
    476,563.88x = 726,026.25 × 726,026.25
  4. Step 4: Simplify right side
    476,563.88x = 527,114,115,689.06
  5. Step 5: Solve for x
    x = 527,114,115,689.06/476,563.88
  6. Step 6: Final answer
    x = 1,106,072.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.