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Finding the Third Proportional to 476,273 and 725,576

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Solution

The third proportional to 476,273 and 725,576 is: 1,105,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,273 : 725,576 = 725,576 : x
  2. Step 2: Convert to fraction form
    476,273/725,576 = 725,576/x
  3. Step 3: Cross multiply
    476,273x = 725,576 × 725,576
  4. Step 4: Simplify right side
    476,273x = 526,460,531,776
  5. Step 5: Solve for x
    x = 526,460,531,776/476,273
  6. Step 6: Final answer
    x = 1,105,375.56

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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.