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Finding the Third Proportional to 246,105.84 and 537,762.80

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Solution

The third proportional to 246,105.84 and 537,762.80 is: 1,175,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,105.84 : 537,762.80 = 537,762.80 : x
  2. Step 2: Convert to fraction form
    246,105.84/537,762.80 = 537,762.80/x
  3. Step 3: Cross multiply
    246,105.84x = 537,762.80 × 537,762.80
  4. Step 4: Simplify right side
    246,105.84x = 289,188,825,702.82
  5. Step 5: Solve for x
    x = 289,188,825,702.82/246,105.84
  6. Step 6: Final answer
    x = 1,175,058.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.