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Finding the Third Proportional to 364,767 and 545,692.50

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Solution

The third proportional to 364,767 and 545,692.50 is: 816,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,767 : 545,692.50 = 545,692.50 : x
  2. Step 2: Convert to fraction form
    364,767/545,692.50 = 545,692.50/x
  3. Step 3: Cross multiply
    364,767x = 545,692.50 × 545,692.50
  4. Step 4: Simplify right side
    364,767x = 297,780,304,556.25
  5. Step 5: Solve for x
    x = 297,780,304,556.25/364,767
  6. Step 6: Final answer
    x = 816,357.58

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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.