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Finding the Third Proportional to 453,940.50 and 636,184.50

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Solution

The third proportional to 453,940.50 and 636,184.50 is: 891,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,940.50 : 636,184.50 = 636,184.50 : x
  2. Step 2: Convert to fraction form
    453,940.50/636,184.50 = 636,184.50/x
  3. Step 3: Cross multiply
    453,940.50x = 636,184.50 × 636,184.50
  4. Step 4: Simplify right side
    453,940.50x = 404,730,718,040.25
  5. Step 5: Solve for x
    x = 404,730,718,040.25/453,940.50
  6. Step 6: Final answer
    x = 891,594.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.