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Finding the Third Proportional to 294,556.50 and 634,203

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Solution

The third proportional to 294,556.50 and 634,203 is: 1,365,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,556.50 : 634,203 = 634,203 : x
  2. Step 2: Convert to fraction form
    294,556.50/634,203 = 634,203/x
  3. Step 3: Cross multiply
    294,556.50x = 634,203 × 634,203
  4. Step 4: Simplify right side
    294,556.50x = 402,213,445,209
  5. Step 5: Solve for x
    x = 402,213,445,209/294,556.50
  6. Step 6: Final answer
    x = 1,365,488.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.