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Finding the Third Proportional to 312,666 and 636,373.50

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Solution

The third proportional to 312,666 and 636,373.50 is: 1,295,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,666 : 636,373.50 = 636,373.50 : x
  2. Step 2: Convert to fraction form
    312,666/636,373.50 = 636,373.50/x
  3. Step 3: Cross multiply
    312,666x = 636,373.50 × 636,373.50
  4. Step 4: Simplify right side
    312,666x = 404,971,231,502.25
  5. Step 5: Solve for x
    x = 404,971,231,502.25/312,666
  6. Step 6: Final answer
    x = 1,295,219.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.