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Finding the Third Proportional to 246,746.25 and 535,774.50

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Solution

The third proportional to 246,746.25 and 535,774.50 is: 1,163,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,746.25 : 535,774.50 = 535,774.50 : x
  2. Step 2: Convert to fraction form
    246,746.25/535,774.50 = 535,774.50/x
  3. Step 3: Cross multiply
    246,746.25x = 535,774.50 × 535,774.50
  4. Step 4: Simplify right side
    246,746.25x = 287,054,314,850.25
  5. Step 5: Solve for x
    x = 287,054,314,850.25/246,746.25
  6. Step 6: Final answer
    x = 1,163,358.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.