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Finding the Third Proportional to 294,503.50 and 472,506.50

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Solution

The third proportional to 294,503.50 and 472,506.50 is: 758,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,503.50 : 472,506.50 = 472,506.50 : x
  2. Step 2: Convert to fraction form
    294,503.50/472,506.50 = 472,506.50/x
  3. Step 3: Cross multiply
    294,503.50x = 472,506.50 × 472,506.50
  4. Step 4: Simplify right side
    294,503.50x = 223,262,392,542.25
  5. Step 5: Solve for x
    x = 223,262,392,542.25/294,503.50
  6. Step 6: Final answer
    x = 758,097.59

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.