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Finding the Third Proportional to 301,247,157 and 465,503,675

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Solution

The third proportional to 301,247,157 and 465,503,675 is: 719,321,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,247,157 : 465,503,675 = 465,503,675 : x
  2. Step 2: Convert to fraction form
    301,247,157/465,503,675 = 465,503,675/x
  3. Step 3: Cross multiply
    301,247,157x = 465,503,675 × 465,503,675
  4. Step 4: Simplify right side
    301,247,157x = 216,693,671,438,505,632
  5. Step 5: Solve for x
    x = 216,693,671,438,505,632/301,247,157
  6. Step 6: Final answer
    x = 719,321,880.40

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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.