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Finding the Third Proportional to 302,010 and 444,246

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Solution

The third proportional to 302,010 and 444,246 is: 653,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,010 : 444,246 = 444,246 : x
  2. Step 2: Convert to fraction form
    302,010/444,246 = 444,246/x
  3. Step 3: Cross multiply
    302,010x = 444,246 × 444,246
  4. Step 4: Simplify right side
    302,010x = 197,354,508,516
  5. Step 5: Solve for x
    x = 197,354,508,516/302,010
  6. Step 6: Final answer
    x = 653,470.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.