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Finding the Third Proportional to 335,944 and 509,248

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Solution

The third proportional to 335,944 and 509,248 is: 771,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,944 : 509,248 = 509,248 : x
  2. Step 2: Convert to fraction form
    335,944/509,248 = 509,248/x
  3. Step 3: Cross multiply
    335,944x = 509,248 × 509,248
  4. Step 4: Simplify right side
    335,944x = 259,333,525,504
  5. Step 5: Solve for x
    x = 259,333,525,504/335,944
  6. Step 6: Final answer
    x = 771,954.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.