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Finding the Third Proportional to 493,624,732 and 722,266,390

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Solution

The third proportional to 493,624,732 and 722,266,390 is: 1,056,812,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,624,732 : 722,266,390 = 722,266,390 : x
  2. Step 2: Convert to fraction form
    493,624,732/722,266,390 = 722,266,390/x
  3. Step 3: Cross multiply
    493,624,732x = 722,266,390 × 722,266,390
  4. Step 4: Simplify right side
    493,624,732x = 521,668,738,123,632,128
  5. Step 5: Solve for x
    x = 521,668,738,123,632,128/493,624,732
  6. Step 6: Final answer
    x = 1,056,812,400.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.