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Finding the Third Proportional to 232,970.25 and 509,559

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Solution

The third proportional to 232,970.25 and 509,559 is: 1,114,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,970.25 : 509,559 = 509,559 : x
  2. Step 2: Convert to fraction form
    232,970.25/509,559 = 509,559/x
  3. Step 3: Cross multiply
    232,970.25x = 509,559 × 509,559
  4. Step 4: Simplify right side
    232,970.25x = 259,650,374,481
  5. Step 5: Solve for x
    x = 259,650,374,481/232,970.25
  6. Step 6: Final answer
    x = 1,114,521.59

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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.