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Finding the Third Proportional to 500,974,440 and 764,419,176

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Solution

The third proportional to 500,974,440 and 764,419,176 is: 1,166,400,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,974,440 : 764,419,176 = 764,419,176 : x
  2. Step 2: Convert to fraction form
    500,974,440/764,419,176 = 764,419,176/x
  3. Step 3: Cross multiply
    500,974,440x = 764,419,176 × 764,419,176
  4. Step 4: Simplify right side
    500,974,440x = 584,336,676,636,518,912
  5. Step 5: Solve for x
    x = 584,336,676,636,518,912/500,974,440
  6. Step 6: Final answer
    x = 1,166,400,179.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.