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Finding the Third Proportional to 302,656 and 458,192

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Solution

The third proportional to 302,656 and 458,192 is: 693,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,656 : 458,192 = 458,192 : x
  2. Step 2: Convert to fraction form
    302,656/458,192 = 458,192/x
  3. Step 3: Cross multiply
    302,656x = 458,192 × 458,192
  4. Step 4: Simplify right side
    302,656x = 209,939,908,864
  5. Step 5: Solve for x
    x = 209,939,908,864/302,656
  6. Step 6: Final answer
    x = 693,658.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.