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Finding the Third Proportional to 295,105.50 and 633,199.50

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Solution

The third proportional to 295,105.50 and 633,199.50 is: 1,358,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,105.50 : 633,199.50 = 633,199.50 : x
  2. Step 2: Convert to fraction form
    295,105.50/633,199.50 = 633,199.50/x
  3. Step 3: Cross multiply
    295,105.50x = 633,199.50 × 633,199.50
  4. Step 4: Simplify right side
    295,105.50x = 400,941,606,800.25
  5. Step 5: Solve for x
    x = 400,941,606,800.25/295,105.50
  6. Step 6: Final answer
    x = 1,358,638.20

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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.