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Finding the Third Proportional to 286,038 and 629,203.50

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Solution

The third proportional to 286,038 and 629,203.50 is: 1,384,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,038 : 629,203.50 = 629,203.50 : x
  2. Step 2: Convert to fraction form
    286,038/629,203.50 = 629,203.50/x
  3. Step 3: Cross multiply
    286,038x = 629,203.50 × 629,203.50
  4. Step 4: Simplify right side
    286,038x = 395,897,044,412.25
  5. Step 5: Solve for x
    x = 395,897,044,412.25/286,038
  6. Step 6: Final answer
    x = 1,384,071.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.