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Finding the Third Proportional to 208,848.38 and 428,763.38

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Solution

The third proportional to 208,848.38 and 428,763.38 is: 880,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,848.38 : 428,763.38 = 428,763.38 : x
  2. Step 2: Convert to fraction form
    208,848.38/428,763.38 = 428,763.38/x
  3. Step 3: Cross multiply
    208,848.38x = 428,763.38 × 428,763.38
  4. Step 4: Simplify right side
    208,848.38x = 183,838,031,741.39
  5. Step 5: Solve for x
    x = 183,838,031,741.39/208,848.38
  6. Step 6: Final answer
    x = 880,246.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.