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Finding the Third Proportional to 507,141,620 and 764,703,396

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Solution

The third proportional to 507,141,620 and 764,703,396 is: 1,153,072,950.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,141,620 : 764,703,396 = 764,703,396 : x
  2. Step 2: Convert to fraction form
    507,141,620/764,703,396 = 764,703,396/x
  3. Step 3: Cross multiply
    507,141,620x = 764,703,396 × 764,703,396
  4. Step 4: Simplify right side
    507,141,620x = 584,771,283,853,932,800
  5. Step 5: Solve for x
    x = 584,771,283,853,932,800/507,141,620
  6. Step 6: Final answer
    x = 1,153,072,950.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.