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Finding the Third Proportional to 232,980.75 and 509,580

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Solution

The third proportional to 232,980.75 and 509,580 is: 1,114,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,980.75 : 509,580 = 509,580 : x
  2. Step 2: Convert to fraction form
    232,980.75/509,580 = 509,580/x
  3. Step 3: Cross multiply
    232,980.75x = 509,580 × 509,580
  4. Step 4: Simplify right side
    232,980.75x = 259,671,776,400
  5. Step 5: Solve for x
    x = 259,671,776,400/232,980.75
  6. Step 6: Final answer
    x = 1,114,563.23

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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.