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Finding the Third Proportional to 454,070 and 681,105

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Solution

The third proportional to 454,070 and 681,105 is: 1,021,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,070 : 681,105 = 681,105 : x
  2. Step 2: Convert to fraction form
    454,070/681,105 = 681,105/x
  3. Step 3: Cross multiply
    454,070x = 681,105 × 681,105
  4. Step 4: Simplify right side
    454,070x = 463,904,021,025
  5. Step 5: Solve for x
    x = 463,904,021,025/454,070
  6. Step 6: Final answer
    x = 1,021,657.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.