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Finding the Third Proportional to 463,968 and 705,672

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Solution

The third proportional to 463,968 and 705,672 is: 1,073,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,968 : 705,672 = 705,672 : x
  2. Step 2: Convert to fraction form
    463,968/705,672 = 705,672/x
  3. Step 3: Cross multiply
    463,968x = 705,672 × 705,672
  4. Step 4: Simplify right side
    463,968x = 497,972,971,584
  5. Step 5: Solve for x
    x = 497,972,971,584/463,968
  6. Step 6: Final answer
    x = 1,073,291.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.