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Finding the Third Proportional to 308,296,923.19 and 719,384,328

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Solution

The third proportional to 308,296,923.19 and 719,384,328 is: 1,678,621,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,296,923.19 : 719,384,328 = 719,384,328 : x
  2. Step 2: Convert to fraction form
    308,296,923.19/719,384,328 = 719,384,328/x
  3. Step 3: Cross multiply
    308,296,923.19x = 719,384,328 × 719,384,328
  4. Step 4: Simplify right side
    308,296,923.19x = 517,513,811,372,011,584
  5. Step 5: Solve for x
    x = 517,513,811,372,011,584/308,296,923.19
  6. Step 6: Final answer
    x = 1,678,621,395.31

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.