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Finding the Third Proportional to 461,112 and 705,660

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Solution

The third proportional to 461,112 and 705,660 is: 1,079,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,112 : 705,660 = 705,660 : x
  2. Step 2: Convert to fraction form
    461,112/705,660 = 705,660/x
  3. Step 3: Cross multiply
    461,112x = 705,660 × 705,660
  4. Step 4: Simplify right side
    461,112x = 497,956,035,600
  5. Step 5: Solve for x
    x = 497,956,035,600/461,112
  6. Step 6: Final answer
    x = 1,079,902.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.