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Finding the Third Proportional to 328,388,972 and 713,935,864

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Solution

The third proportional to 328,388,972 and 713,935,864 is: 1,552,136,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,388,972 : 713,935,864 = 713,935,864 : x
  2. Step 2: Convert to fraction form
    328,388,972/713,935,864 = 713,935,864/x
  3. Step 3: Cross multiply
    328,388,972x = 713,935,864 × 713,935,864
  4. Step 4: Simplify right side
    328,388,972x = 509,704,417,905,426,496
  5. Step 5: Solve for x
    x = 509,704,417,905,426,496/328,388,972
  6. Step 6: Final answer
    x = 1,552,136,220.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.