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Finding the Third Proportional to 545,847 and 803,164.50

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Solution

The third proportional to 545,847 and 803,164.50 is: 1,181,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,847 : 803,164.50 = 803,164.50 : x
  2. Step 2: Convert to fraction form
    545,847/803,164.50 = 803,164.50/x
  3. Step 3: Cross multiply
    545,847x = 803,164.50 × 803,164.50
  4. Step 4: Simplify right side
    545,847x = 645,073,214,060.25
  5. Step 5: Solve for x
    x = 645,073,214,060.25/545,847
  6. Step 6: Final answer
    x = 1,181,783.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.