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Finding the Third Proportional to 302,948 and 469,068

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Solution

The third proportional to 302,948 and 469,068 is: 726,279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,948 : 469,068 = 469,068 : x
  2. Step 2: Convert to fraction form
    302,948/469,068 = 469,068/x
  3. Step 3: Cross multiply
    302,948x = 469,068 × 469,068
  4. Step 4: Simplify right side
    302,948x = 220,024,788,624
  5. Step 5: Solve for x
    x = 220,024,788,624/302,948
  6. Step 6: Final answer
    x = 726,279.06

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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.