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Finding the Third Proportional to 494,414.96 and 742,938.86

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Solution

The third proportional to 494,414.96 and 742,938.86 is: 1,116,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,414.96 : 742,938.86 = 742,938.86 : x
  2. Step 2: Convert to fraction form
    494,414.96/742,938.86 = 742,938.86/x
  3. Step 3: Cross multiply
    494,414.96x = 742,938.86 × 742,938.86
  4. Step 4: Simplify right side
    494,414.96x = 551,958,142,965.22
  5. Step 5: Solve for x
    x = 551,958,142,965.22/494,414.96
  6. Step 6: Final answer
    x = 1,116,386.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.