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Finding the Third Proportional to 309,783.50 and 452,782.50

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Solution

The third proportional to 309,783.50 and 452,782.50 is: 661,791.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,783.50 : 452,782.50 = 452,782.50 : x
  2. Step 2: Convert to fraction form
    309,783.50/452,782.50 = 452,782.50/x
  3. Step 3: Cross multiply
    309,783.50x = 452,782.50 × 452,782.50
  4. Step 4: Simplify right side
    309,783.50x = 205,011,992,306.25
  5. Step 5: Solve for x
    x = 205,011,992,306.25/309,783.50
  6. Step 6: Final answer
    x = 661,791.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.