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Finding the Third Proportional to 294,883.50 and 632,778

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Solution

The third proportional to 294,883.50 and 632,778 is: 1,357,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,883.50 : 632,778 = 632,778 : x
  2. Step 2: Convert to fraction form
    294,883.50/632,778 = 632,778/x
  3. Step 3: Cross multiply
    294,883.50x = 632,778 × 632,778
  4. Step 4: Simplify right side
    294,883.50x = 400,407,997,284
  5. Step 5: Solve for x
    x = 400,407,997,284/294,883.50
  6. Step 6: Final answer
    x = 1,357,851.48

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