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Finding the Third Proportional to 368,742 and 804,226

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Solution

The third proportional to 368,742 and 804,226 is: 1,754,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,742 : 804,226 = 804,226 : x
  2. Step 2: Convert to fraction form
    368,742/804,226 = 804,226/x
  3. Step 3: Cross multiply
    368,742x = 804,226 × 804,226
  4. Step 4: Simplify right side
    368,742x = 646,779,459,076
  5. Step 5: Solve for x
    x = 646,779,459,076/368,742
  6. Step 6: Final answer
    x = 1,754,016.25

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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.