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Finding the Third Proportional to 333,885 and 500,827.50

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Solution

The third proportional to 333,885 and 500,827.50 is: 751,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,885 : 500,827.50 = 500,827.50 : x
  2. Step 2: Convert to fraction form
    333,885/500,827.50 = 500,827.50/x
  3. Step 3: Cross multiply
    333,885x = 500,827.50 × 500,827.50
  4. Step 4: Simplify right side
    333,885x = 250,828,184,756.25
  5. Step 5: Solve for x
    x = 250,828,184,756.25/333,885
  6. Step 6: Final answer
    x = 751,241.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.