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Finding the Third Proportional to 246,306.75 and 531,907.50

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Solution

The third proportional to 246,306.75 and 531,907.50 is: 1,148,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,306.75 : 531,907.50 = 531,907.50 : x
  2. Step 2: Convert to fraction form
    246,306.75/531,907.50 = 531,907.50/x
  3. Step 3: Cross multiply
    246,306.75x = 531,907.50 × 531,907.50
  4. Step 4: Simplify right side
    246,306.75x = 282,925,588,556.25
  5. Step 5: Solve for x
    x = 282,925,588,556.25/246,306.75
  6. Step 6: Final answer
    x = 1,148,671.68

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Why These Related Problems?

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