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Finding the Third Proportional to 302,024 and 442,882

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Solution

The third proportional to 302,024 and 442,882 is: 649,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024 : 442,882 = 442,882 : x
  2. Step 2: Convert to fraction form
    302,024/442,882 = 442,882/x
  3. Step 3: Cross multiply
    302,024x = 442,882 × 442,882
  4. Step 4: Simplify right side
    302,024x = 196,144,465,924
  5. Step 5: Solve for x
    x = 196,144,465,924/302,024
  6. Step 6: Final answer
    x = 649,433.38

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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.