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Finding the Third Proportional to 301,247,168 and 465,503,691

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Solution

The third proportional to 301,247,168 and 465,503,691 is: 719,321,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,247,168 : 465,503,691 = 465,503,691 : x
  2. Step 2: Convert to fraction form
    301,247,168/465,503,691 = 465,503,691/x
  3. Step 3: Cross multiply
    301,247,168x = 465,503,691 × 465,503,691
  4. Step 4: Simplify right side
    301,247,168x = 216,693,686,334,623,488
  5. Step 5: Solve for x
    x = 216,693,686,334,623,488/301,247,168
  6. Step 6: Final answer
    x = 719,321,903.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.