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Finding the Third Proportional to 302,836,452 and 658,817,004

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Solution

The third proportional to 302,836,452 and 658,817,004 is: 1,433,248,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,836,452 : 658,817,004 = 658,817,004 : x
  2. Step 2: Convert to fraction form
    302,836,452/658,817,004 = 658,817,004/x
  3. Step 3: Cross multiply
    302,836,452x = 658,817,004 × 658,817,004
  4. Step 4: Simplify right side
    302,836,452x = 434,039,844,759,536,000
  5. Step 5: Solve for x
    x = 434,039,844,759,536,000/302,836,452
  6. Step 6: Final answer
    x = 1,433,248,348.71

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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.