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Finding the Third Proportional to 301,446 and 415,260

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Solution

The third proportional to 301,446 and 415,260 is: 572,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,446 : 415,260 = 415,260 : x
  2. Step 2: Convert to fraction form
    301,446/415,260 = 415,260/x
  3. Step 3: Cross multiply
    301,446x = 415,260 × 415,260
  4. Step 4: Simplify right side
    301,446x = 172,440,867,600
  5. Step 5: Solve for x
    x = 172,440,867,600/301,446
  6. Step 6: Final answer
    x = 572,045.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.