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Finding the Third Proportional to 232,984 and 509,586.50

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Solution

The third proportional to 232,984 and 509,586.50 is: 1,114,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,984 : 509,586.50 = 509,586.50 : x
  2. Step 2: Convert to fraction form
    232,984/509,586.50 = 509,586.50/x
  3. Step 3: Cross multiply
    232,984x = 509,586.50 × 509,586.50
  4. Step 4: Simplify right side
    232,984x = 259,678,400,982.25
  5. Step 5: Solve for x
    x = 259,678,400,982.25/232,984
  6. Step 6: Final answer
    x = 1,114,576.11

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Why These Related Problems?

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