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Finding the Third Proportional to 531,474.75 and 546,783.75

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Solution

The third proportional to 531,474.75 and 546,783.75 is: 562,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,474.75 : 546,783.75 = 546,783.75 : x
  2. Step 2: Convert to fraction form
    531,474.75/546,783.75 = 546,783.75/x
  3. Step 3: Cross multiply
    531,474.75x = 546,783.75 × 546,783.75
  4. Step 4: Simplify right side
    531,474.75x = 298,972,469,264.06
  5. Step 5: Solve for x
    x = 298,972,469,264.06/531,474.75
  6. Step 6: Final answer
    x = 562,533.72

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These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.