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Finding the Third Proportional to 328,817,928 and 715,520,832

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Solution

The third proportional to 328,817,928 and 715,520,832 is: 1,557,001,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,817,928 : 715,520,832 = 715,520,832 : x
  2. Step 2: Convert to fraction form
    328,817,928/715,520,832 = 715,520,832/x
  3. Step 3: Cross multiply
    328,817,928x = 715,520,832 × 715,520,832
  4. Step 4: Simplify right side
    328,817,928x = 511,970,061,025,972,224
  5. Step 5: Solve for x
    x = 511,970,061,025,972,224/328,817,928
  6. Step 6: Final answer
    x = 1,557,001,663.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.