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Finding the Third Proportional to 272,041 and 428,929

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Solution

The third proportional to 272,041 and 428,929 is: 676,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,041 : 428,929 = 428,929 : x
  2. Step 2: Convert to fraction form
    272,041/428,929 = 428,929/x
  3. Step 3: Cross multiply
    272,041x = 428,929 × 428,929
  4. Step 4: Simplify right side
    272,041x = 183,980,087,041
  5. Step 5: Solve for x
    x = 183,980,087,041/272,041
  6. Step 6: Final answer
    x = 676,295.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.