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Finding the Third Proportional to 301,666 and 595,712

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Solution

The third proportional to 301,666 and 595,712 is: 1,176,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,666 : 595,712 = 595,712 : x
  2. Step 2: Convert to fraction form
    301,666/595,712 = 595,712/x
  3. Step 3: Cross multiply
    301,666x = 595,712 × 595,712
  4. Step 4: Simplify right side
    301,666x = 354,872,786,944
  5. Step 5: Solve for x
    x = 354,872,786,944/301,666
  6. Step 6: Final answer
    x = 1,176,376.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.