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Finding the Third Proportional to 550,417 and 775,108.50

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Solution

The third proportional to 550,417 and 775,108.50 is: 1,091,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,417 : 775,108.50 = 775,108.50 : x
  2. Step 2: Convert to fraction form
    550,417/775,108.50 = 775,108.50/x
  3. Step 3: Cross multiply
    550,417x = 775,108.50 × 775,108.50
  4. Step 4: Simplify right side
    550,417x = 600,793,186,772.25
  5. Step 5: Solve for x
    x = 600,793,186,772.25/550,417
  6. Step 6: Final answer
    x = 1,091,523.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.