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Finding the Third Proportional to 246,741 and 538,102.50

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Solution

The third proportional to 246,741 and 538,102.50 is: 1,173,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,741 : 538,102.50 = 538,102.50 : x
  2. Step 2: Convert to fraction form
    246,741/538,102.50 = 538,102.50/x
  3. Step 3: Cross multiply
    246,741x = 538,102.50 × 538,102.50
  4. Step 4: Simplify right side
    246,741x = 289,554,300,506.25
  5. Step 5: Solve for x
    x = 289,554,300,506.25/246,741
  6. Step 6: Final answer
    x = 1,173,515.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.