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Finding the Third Proportional to 416,425 and 904,201

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Solution

The third proportional to 416,425 and 904,201 is: 1,963,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,425 : 904,201 = 904,201 : x
  2. Step 2: Convert to fraction form
    416,425/904,201 = 904,201/x
  3. Step 3: Cross multiply
    416,425x = 904,201 × 904,201
  4. Step 4: Simplify right side
    416,425x = 817,579,448,401
  5. Step 5: Solve for x
    x = 817,579,448,401/416,425
  6. Step 6: Final answer
    x = 1,963,329.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.