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Finding the Third Proportional to 301,026 and 658,023

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Solution

The third proportional to 301,026 and 658,023 is: 1,438,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,026 : 658,023 = 658,023 : x
  2. Step 2: Convert to fraction form
    301,026/658,023 = 658,023/x
  3. Step 3: Cross multiply
    301,026x = 658,023 × 658,023
  4. Step 4: Simplify right side
    301,026x = 432,994,268,529
  5. Step 5: Solve for x
    x = 432,994,268,529/301,026
  6. Step 6: Final answer
    x = 1,438,394.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.