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Finding the Third Proportional to 294,330 and 452,977.50

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Solution

The third proportional to 294,330 and 452,977.50 is: 697,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,330 : 452,977.50 = 452,977.50 : x
  2. Step 2: Convert to fraction form
    294,330/452,977.50 = 452,977.50/x
  3. Step 3: Cross multiply
    294,330x = 452,977.50 × 452,977.50
  4. Step 4: Simplify right side
    294,330x = 205,188,615,506.25
  5. Step 5: Solve for x
    x = 205,188,615,506.25/294,330
  6. Step 6: Final answer
    x = 697,137.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.