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Finding the Third Proportional to 349,930.13 and 511,773.19

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Solution

The third proportional to 349,930.13 and 511,773.19 is: 748,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,930.13 : 511,773.19 = 511,773.19 : x
  2. Step 2: Convert to fraction form
    349,930.13/511,773.19 = 511,773.19/x
  3. Step 3: Cross multiply
    349,930.13x = 511,773.19 × 511,773.19
  4. Step 4: Simplify right side
    349,930.13x = 261,911,795,443.91
  5. Step 5: Solve for x
    x = 261,911,795,443.91/349,930.13
  6. Step 6: Final answer
    x = 748,468.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.