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Finding the Third Proportional to 232,968.47 and 509,555.34

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Solution

The third proportional to 232,968.47 and 509,555.34 is: 1,114,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,968.47 : 509,555.34 = 509,555.34 : x
  2. Step 2: Convert to fraction form
    232,968.47/509,555.34 = 509,555.34/x
  3. Step 3: Cross multiply
    232,968.47x = 509,555.34 × 509,555.34
  4. Step 4: Simplify right side
    232,968.47x = 259,646,648,344.18
  5. Step 5: Solve for x
    x = 259,646,648,344.18/232,968.47
  6. Step 6: Final answer
    x = 1,114,514.12

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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.