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Finding the Third Proportional to 368,768 and 804,280

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Solution

The third proportional to 368,768 and 804,280 is: 1,754,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,768 : 804,280 = 804,280 : x
  2. Step 2: Convert to fraction form
    368,768/804,280 = 804,280/x
  3. Step 3: Cross multiply
    368,768x = 804,280 × 804,280
  4. Step 4: Simplify right side
    368,768x = 646,866,318,400
  5. Step 5: Solve for x
    x = 646,866,318,400/368,768
  6. Step 6: Final answer
    x = 1,754,128.12

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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.