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Finding the Third Proportional to 366,064 and 671,378

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Solution

The third proportional to 366,064 and 671,378 is: 1,231,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,064 : 671,378 = 671,378 : x
  2. Step 2: Convert to fraction form
    366,064/671,378 = 671,378/x
  3. Step 3: Cross multiply
    366,064x = 671,378 × 671,378
  4. Step 4: Simplify right side
    366,064x = 450,748,418,884
  5. Step 5: Solve for x
    x = 450,748,418,884/366,064
  6. Step 6: Final answer
    x = 1,231,337.74

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.