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Finding the Third Proportional to 492,783.75 and 544,623.75

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Solution

The third proportional to 492,783.75 and 544,623.75 is: 601,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,783.75 : 544,623.75 = 544,623.75 : x
  2. Step 2: Convert to fraction form
    492,783.75/544,623.75 = 544,623.75/x
  3. Step 3: Cross multiply
    492,783.75x = 544,623.75 × 544,623.75
  4. Step 4: Simplify right side
    492,783.75x = 296,615,029,064.06
  5. Step 5: Solve for x
    x = 296,615,029,064.06/492,783.75
  6. Step 6: Final answer
    x = 601,917.23

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.