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Finding the Third Proportional to 304,408.13 and 657,564.75

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Solution

The third proportional to 304,408.13 and 657,564.75 is: 1,420,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,408.13 : 657,564.75 = 657,564.75 : x
  2. Step 2: Convert to fraction form
    304,408.13/657,564.75 = 657,564.75/x
  3. Step 3: Cross multiply
    304,408.13x = 657,564.75 × 657,564.75
  4. Step 4: Simplify right side
    304,408.13x = 432,391,400,442.56
  5. Step 5: Solve for x
    x = 432,391,400,442.56/304,408.13
  6. Step 6: Final answer
    x = 1,420,433.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.