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Finding the Third Proportional to 300,497,516 and 652,723,971

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Solution

The third proportional to 300,497,516 and 652,723,971 is: 1,417,810,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,497,516 : 652,723,971 = 652,723,971 : x
  2. Step 2: Convert to fraction form
    300,497,516/652,723,971 = 652,723,971/x
  3. Step 3: Cross multiply
    300,497,516x = 652,723,971 × 652,723,971
  4. Step 4: Simplify right side
    300,497,516x = 426,048,582,318,008,832
  5. Step 5: Solve for x
    x = 426,048,582,318,008,832/300,497,516
  6. Step 6: Final answer
    x = 1,417,810,662.76

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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.