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Finding the Third Proportional to 308,035,313.63 and 726,426,367.13

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Solution

The third proportional to 308,035,313.63 and 726,426,367.13 is: 1,713,099,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,035,313.63 : 726,426,367.13 = 726,426,367.13 : x
  2. Step 2: Convert to fraction form
    308,035,313.63/726,426,367.13 = 726,426,367.13/x
  3. Step 3: Cross multiply
    308,035,313.63x = 726,426,367.13 × 726,426,367.13
  4. Step 4: Simplify right side
    308,035,313.63x = 527,695,266,854,425,280
  5. Step 5: Solve for x
    x = 527,695,266,854,425,280/308,035,313.63
  6. Step 6: Final answer
    x = 1,713,099,906.13

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.