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Finding the Third Proportional to 328,627,694.53 and 511,785,690.61

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Solution

The third proportional to 328,627,694.53 and 511,785,690.61 is: 797,025,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,627,694.53 : 511,785,690.61 = 511,785,690.61 : x
  2. Step 2: Convert to fraction form
    328,627,694.53/511,785,690.61 = 511,785,690.61/x
  3. Step 3: Cross multiply
    328,627,694.53x = 511,785,690.61 × 511,785,690.61
  4. Step 4: Simplify right side
    328,627,694.53x = 261,924,593,112,520,032
  5. Step 5: Solve for x
    x = 261,924,593,112,520,032/328,627,694.53
  6. Step 6: Final answer
    x = 797,025,319.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.