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Finding the Third Proportional to 302,038.50 and 662,202

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Solution

The third proportional to 302,038.50 and 662,202 is: 1,451,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,038.50 : 662,202 = 662,202 : x
  2. Step 2: Convert to fraction form
    302,038.50/662,202 = 662,202/x
  3. Step 3: Cross multiply
    302,038.50x = 662,202 × 662,202
  4. Step 4: Simplify right side
    302,038.50x = 438,511,488,804
  5. Step 5: Solve for x
    x = 438,511,488,804/302,038.50
  6. Step 6: Final answer
    x = 1,451,839.71

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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.