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Finding the Third Proportional to 437,411 and 675,498

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Solution

The third proportional to 437,411 and 675,498 is: 1,043,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,411 : 675,498 = 675,498 : x
  2. Step 2: Convert to fraction form
    437,411/675,498 = 675,498/x
  3. Step 3: Cross multiply
    437,411x = 675,498 × 675,498
  4. Step 4: Simplify right side
    437,411x = 456,297,548,004
  5. Step 5: Solve for x
    x = 456,297,548,004/437,411
  6. Step 6: Final answer
    x = 1,043,178.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.