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Finding the Third Proportional to 232,970.75 and 509,560

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Solution

The third proportional to 232,970.75 and 509,560 is: 1,114,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,970.75 : 509,560 = 509,560 : x
  2. Step 2: Convert to fraction form
    232,970.75/509,560 = 509,560/x
  3. Step 3: Cross multiply
    232,970.75x = 509,560 × 509,560
  4. Step 4: Simplify right side
    232,970.75x = 259,651,393,600
  5. Step 5: Solve for x
    x = 259,651,393,600/232,970.75
  6. Step 6: Final answer
    x = 1,114,523.58

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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.