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Finding the Third Proportional to 476,272 and 725,574

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Solution

The third proportional to 476,272 and 725,574 is: 1,105,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,272 : 725,574 = 725,574 : x
  2. Step 2: Convert to fraction form
    476,272/725,574 = 725,574/x
  3. Step 3: Cross multiply
    476,272x = 725,574 × 725,574
  4. Step 4: Simplify right side
    476,272x = 526,457,629,476
  5. Step 5: Solve for x
    x = 526,457,629,476/476,272
  6. Step 6: Final answer
    x = 1,105,371.78

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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.