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Finding the Third Proportional to 229,392.25 and 493,938.50

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Solution

The third proportional to 229,392.25 and 493,938.50 is: 1,063,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,392.25 : 493,938.50 = 493,938.50 : x
  2. Step 2: Convert to fraction form
    229,392.25/493,938.50 = 493,938.50/x
  3. Step 3: Cross multiply
    229,392.25x = 493,938.50 × 493,938.50
  4. Step 4: Simplify right side
    229,392.25x = 243,975,241,782.25
  5. Step 5: Solve for x
    x = 243,975,241,782.25/229,392.25
  6. Step 6: Final answer
    x = 1,063,572.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.