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Finding the Third Proportional to 368,770 and 804,284

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Solution

The third proportional to 368,770 and 804,284 is: 1,754,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,770 : 804,284 = 804,284 : x
  2. Step 2: Convert to fraction form
    368,770/804,284 = 804,284/x
  3. Step 3: Cross multiply
    368,770x = 804,284 × 804,284
  4. Step 4: Simplify right side
    368,770x = 646,872,752,656
  5. Step 5: Solve for x
    x = 646,872,752,656/368,770
  6. Step 6: Final answer
    x = 1,754,136.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.