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Finding the Third Proportional to 550,624.50 and 775,417.50

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Solution

The third proportional to 550,624.50 and 775,417.50 is: 1,091,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,624.50 : 775,417.50 = 775,417.50 : x
  2. Step 2: Convert to fraction form
    550,624.50/775,417.50 = 775,417.50/x
  3. Step 3: Cross multiply
    550,624.50x = 775,417.50 × 775,417.50
  4. Step 4: Simplify right side
    550,624.50x = 601,272,299,306.25
  5. Step 5: Solve for x
    x = 601,272,299,306.25/550,624.50
  6. Step 6: Final answer
    x = 1,091,982.47

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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.