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Finding the Third Proportional to 294,559.50 and 467,172

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Solution

The third proportional to 294,559.50 and 467,172 is: 740,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,559.50 : 467,172 = 467,172 : x
  2. Step 2: Convert to fraction form
    294,559.50/467,172 = 467,172/x
  3. Step 3: Cross multiply
    294,559.50x = 467,172 × 467,172
  4. Step 4: Simplify right side
    294,559.50x = 218,249,677,584
  5. Step 5: Solve for x
    x = 218,249,677,584/294,559.50
  6. Step 6: Final answer
    x = 740,935.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.