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Finding the Third Proportional to 341,995.50 and 511,078.50

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Solution

The third proportional to 341,995.50 and 511,078.50 is: 763,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,995.50 : 511,078.50 = 511,078.50 : x
  2. Step 2: Convert to fraction form
    341,995.50/511,078.50 = 511,078.50/x
  3. Step 3: Cross multiply
    341,995.50x = 511,078.50 × 511,078.50
  4. Step 4: Simplify right side
    341,995.50x = 261,201,233,162.25
  5. Step 5: Solve for x
    x = 261,201,233,162.25/341,995.50
  6. Step 6: Final answer
    x = 763,756.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.