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Finding the Third Proportional to 297,549 and 453,289.50

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Solution

The third proportional to 297,549 and 453,289.50 is: 690,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,549 : 453,289.50 = 453,289.50 : x
  2. Step 2: Convert to fraction form
    297,549/453,289.50 = 453,289.50/x
  3. Step 3: Cross multiply
    297,549x = 453,289.50 × 453,289.50
  4. Step 4: Simplify right side
    297,549x = 205,471,370,810.25
  5. Step 5: Solve for x
    x = 205,471,370,810.25/297,549
  6. Step 6: Final answer
    x = 690,546.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.