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Finding the Third Proportional to 302,644 and 468,321

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Solution

The third proportional to 302,644 and 468,321 is: 724,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,644 : 468,321 = 468,321 : x
  2. Step 2: Convert to fraction form
    302,644/468,321 = 468,321/x
  3. Step 3: Cross multiply
    302,644x = 468,321 × 468,321
  4. Step 4: Simplify right side
    302,644x = 219,324,559,041
  5. Step 5: Solve for x
    x = 219,324,559,041/302,644
  6. Step 6: Final answer
    x = 724,694.89

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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.