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Finding the Third Proportional to 368,308 and 806,882

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Solution

The third proportional to 368,308 and 806,882 is: 1,767,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,308 : 806,882 = 806,882 : x
  2. Step 2: Convert to fraction form
    368,308/806,882 = 806,882/x
  3. Step 3: Cross multiply
    368,308x = 806,882 × 806,882
  4. Step 4: Simplify right side
    368,308x = 651,058,561,924
  5. Step 5: Solve for x
    x = 651,058,561,924/368,308
  6. Step 6: Final answer
    x = 1,767,701.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.