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Finding the Third Proportional to 246,287.75 and 531,869.50

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Solution

The third proportional to 246,287.75 and 531,869.50 is: 1,148,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,287.75 : 531,869.50 = 531,869.50 : x
  2. Step 2: Convert to fraction form
    246,287.75/531,869.50 = 531,869.50/x
  3. Step 3: Cross multiply
    246,287.75x = 531,869.50 × 531,869.50
  4. Step 4: Simplify right side
    246,287.75x = 282,885,165,030.25
  5. Step 5: Solve for x
    x = 282,885,165,030.25/246,287.75
  6. Step 6: Final answer
    x = 1,148,596.16

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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.