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Finding the Third Proportional to 297,006.75 and 460,120.50

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Solution

The third proportional to 297,006.75 and 460,120.50 is: 712,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,006.75 : 460,120.50 = 460,120.50 : x
  2. Step 2: Convert to fraction form
    297,006.75/460,120.50 = 460,120.50/x
  3. Step 3: Cross multiply
    297,006.75x = 460,120.50 × 460,120.50
  4. Step 4: Simplify right side
    297,006.75x = 211,710,874,520.25
  5. Step 5: Solve for x
    x = 211,710,874,520.25/297,006.75
  6. Step 6: Final answer
    x = 712,815.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.