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Finding the Third Proportional to 636,442.50 and 1,384,967.25

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Solution

The third proportional to 636,442.50 and 1,384,967.25 is: 3,013,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,442.50 : 1,384,967.25 = 1,384,967.25 : x
  2. Step 2: Convert to fraction form
    636,442.50/1,384,967.25 = 1,384,967.25/x
  3. Step 3: Cross multiply
    636,442.50x = 1,384,967.25 × 1,384,967.25
  4. Step 4: Simplify right side
    636,442.50x = 1,918,134,283,572.56
  5. Step 5: Solve for x
    x = 1,918,134,283,572.56/636,442.50
  6. Step 6: Final answer
    x = 3,013,837.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.