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Finding the Third Proportional to 302,946 and 469,065

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Solution

The third proportional to 302,946 and 469,065 is: 726,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,946 : 469,065 = 469,065 : x
  2. Step 2: Convert to fraction form
    302,946/469,065 = 469,065/x
  3. Step 3: Cross multiply
    302,946x = 469,065 × 469,065
  4. Step 4: Simplify right side
    302,946x = 220,021,974,225
  5. Step 5: Solve for x
    x = 220,021,974,225/302,946
  6. Step 6: Final answer
    x = 726,274.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.