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Finding the Third Proportional to 261,261.50 and 403,784.75

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Solution

The third proportional to 261,261.50 and 403,784.75 is: 624,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,261.50 : 403,784.75 = 403,784.75 : x
  2. Step 2: Convert to fraction form
    261,261.50/403,784.75 = 403,784.75/x
  3. Step 3: Cross multiply
    261,261.50x = 403,784.75 × 403,784.75
  4. Step 4: Simplify right side
    261,261.50x = 163,042,124,332.56
  5. Step 5: Solve for x
    x = 163,042,124,332.56/261,261.50
  6. Step 6: Final answer
    x = 624,057.22

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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.