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Finding the Third Proportional to 461,100 and 705,642

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Solution

The third proportional to 461,100 and 705,642 is: 1,079,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,100 : 705,642 = 705,642 : x
  2. Step 2: Convert to fraction form
    461,100/705,642 = 705,642/x
  3. Step 3: Cross multiply
    461,100x = 705,642 × 705,642
  4. Step 4: Simplify right side
    461,100x = 497,930,632,164
  5. Step 5: Solve for x
    x = 497,930,632,164/461,100
  6. Step 6: Final answer
    x = 1,079,875.58

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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.