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Finding the Third Proportional to 246,312 and 533,107.50

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Solution

The third proportional to 246,312 and 533,107.50 is: 1,153,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,312 : 533,107.50 = 533,107.50 : x
  2. Step 2: Convert to fraction form
    246,312/533,107.50 = 533,107.50/x
  3. Step 3: Cross multiply
    246,312x = 533,107.50 × 533,107.50
  4. Step 4: Simplify right side
    246,312x = 284,203,606,556.25
  5. Step 5: Solve for x
    x = 284,203,606,556.25/246,312
  6. Step 6: Final answer
    x = 1,153,835.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.