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Finding the Third Proportional to 294,054 and 637,894.50

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Solution

The third proportional to 294,054 and 637,894.50 is: 1,383,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,054 : 637,894.50 = 637,894.50 : x
  2. Step 2: Convert to fraction form
    294,054/637,894.50 = 637,894.50/x
  3. Step 3: Cross multiply
    294,054x = 637,894.50 × 637,894.50
  4. Step 4: Simplify right side
    294,054x = 406,909,393,130.25
  5. Step 5: Solve for x
    x = 406,909,393,130.25/294,054
  6. Step 6: Final answer
    x = 1,383,791.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.