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Finding the Third Proportional to 302,140 and 444,414

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Solution

The third proportional to 302,140 and 444,414 is: 653,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,140 : 444,414 = 444,414 : x
  2. Step 2: Convert to fraction form
    302,140/444,414 = 444,414/x
  3. Step 3: Cross multiply
    302,140x = 444,414 × 444,414
  4. Step 4: Simplify right side
    302,140x = 197,503,803,396
  5. Step 5: Solve for x
    x = 197,503,803,396/302,140
  6. Step 6: Final answer
    x = 653,683.07

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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.