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Finding the Third Proportional to 302,653.50 and 664,083

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Solution

The third proportional to 302,653.50 and 664,083 is: 1,457,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,653.50 : 664,083 = 664,083 : x
  2. Step 2: Convert to fraction form
    302,653.50/664,083 = 664,083/x
  3. Step 3: Cross multiply
    302,653.50x = 664,083 × 664,083
  4. Step 4: Simplify right side
    302,653.50x = 441,006,230,889
  5. Step 5: Solve for x
    x = 441,006,230,889/302,653.50
  6. Step 6: Final answer
    x = 1,457,132.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.