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Finding the Third Proportional to 328,627,703.25 and 511,785,704.25

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Solution

The third proportional to 328,627,703.25 and 511,785,704.25 is: 797,025,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,627,703.25 : 511,785,704.25 = 511,785,704.25 : x
  2. Step 2: Convert to fraction form
    328,627,703.25/511,785,704.25 = 511,785,704.25/x
  3. Step 3: Cross multiply
    328,627,703.25x = 511,785,704.25 × 511,785,704.25
  4. Step 4: Simplify right side
    328,627,703.25x = 261,924,607,074,668,480
  5. Step 5: Solve for x
    x = 261,924,607,074,668,480/328,627,703.25
  6. Step 6: Final answer
    x = 797,025,340.48

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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.