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Finding the Third Proportional to 454,092.75 and 712,419.75

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Solution

The third proportional to 454,092.75 and 712,419.75 is: 1,117,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,092.75 : 712,419.75 = 712,419.75 : x
  2. Step 2: Convert to fraction form
    454,092.75/712,419.75 = 712,419.75/x
  3. Step 3: Cross multiply
    454,092.75x = 712,419.75 × 712,419.75
  4. Step 4: Simplify right side
    454,092.75x = 507,541,900,190.06
  5. Step 5: Solve for x
    x = 507,541,900,190.06/454,092.75
  6. Step 6: Final answer
    x = 1,117,705.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.