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Finding the Third Proportional to 335,776.50 and 465,385.50

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Solution

The third proportional to 335,776.50 and 465,385.50 is: 645,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,776.50 : 465,385.50 = 465,385.50 : x
  2. Step 2: Convert to fraction form
    335,776.50/465,385.50 = 465,385.50/x
  3. Step 3: Cross multiply
    335,776.50x = 465,385.50 × 465,385.50
  4. Step 4: Simplify right side
    335,776.50x = 216,583,663,610.25
  5. Step 5: Solve for x
    x = 216,583,663,610.25/335,776.50
  6. Step 6: Final answer
    x = 645,023.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.