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Finding the Third Proportional to 196,752 and 428,541

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Solution

The third proportional to 196,752 and 428,541 is: 933,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,752 : 428,541 = 428,541 : x
  2. Step 2: Convert to fraction form
    196,752/428,541 = 428,541/x
  3. Step 3: Cross multiply
    196,752x = 428,541 × 428,541
  4. Step 4: Simplify right side
    196,752x = 183,647,388,681
  5. Step 5: Solve for x
    x = 183,647,388,681/196,752
  6. Step 6: Final answer
    x = 933,395.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.