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Finding the Third Proportional to 367,328,584 and 799,224,452

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Solution

The third proportional to 367,328,584 and 799,224,452 is: 1,738,932,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,328,584 : 799,224,452 = 799,224,452 : x
  2. Step 2: Convert to fraction form
    367,328,584/799,224,452 = 799,224,452/x
  3. Step 3: Cross multiply
    367,328,584x = 799,224,452 × 799,224,452
  4. Step 4: Simplify right side
    367,328,584x = 638,759,724,674,700,288
  5. Step 5: Solve for x
    x = 638,759,724,674,700,288/367,328,584
  6. Step 6: Final answer
    x = 1,738,932,804.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.