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Finding the Third Proportional to 375,072 and 804,336

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Solution

The third proportional to 375,072 and 804,336 is: 1,724,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,072 : 804,336 = 804,336 : x
  2. Step 2: Convert to fraction form
    375,072/804,336 = 804,336/x
  3. Step 3: Cross multiply
    375,072x = 804,336 × 804,336
  4. Step 4: Simplify right side
    375,072x = 646,956,400,896
  5. Step 5: Solve for x
    x = 646,956,400,896/375,072
  6. Step 6: Final answer
    x = 1,724,885.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.