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Finding the Third Proportional to 533,853 and 1,174,657.50

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Solution

The third proportional to 533,853 and 1,174,657.50 is: 2,584,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,853 : 1,174,657.50 = 1,174,657.50 : x
  2. Step 2: Convert to fraction form
    533,853/1,174,657.50 = 1,174,657.50/x
  3. Step 3: Cross multiply
    533,853x = 1,174,657.50 × 1,174,657.50
  4. Step 4: Simplify right side
    533,853x = 1,379,820,242,306.25
  5. Step 5: Solve for x
    x = 1,379,820,242,306.25/533,853
  6. Step 6: Final answer
    x = 2,584,644.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.