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Finding the Third Proportional to 254,056.50 and 555,346.13

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Solution

The third proportional to 254,056.50 and 555,346.13 is: 1,213,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,056.50 : 555,346.13 = 555,346.13 : x
  2. Step 2: Convert to fraction form
    254,056.50/555,346.13 = 555,346.13/x
  3. Step 3: Cross multiply
    254,056.50x = 555,346.13 × 555,346.13
  4. Step 4: Simplify right side
    254,056.50x = 308,409,318,552.52
  5. Step 5: Solve for x
    x = 308,409,318,552.52/254,056.50
  6. Step 6: Final answer
    x = 1,213,939.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.