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Finding the Third Proportional to 589,851 and 887,692.50

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Solution

The third proportional to 589,851 and 887,692.50 is: 1,335,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,851 : 887,692.50 = 887,692.50 : x
  2. Step 2: Convert to fraction form
    589,851/887,692.50 = 887,692.50/x
  3. Step 3: Cross multiply
    589,851x = 887,692.50 × 887,692.50
  4. Step 4: Simplify right side
    589,851x = 787,997,974,556.25
  5. Step 5: Solve for x
    x = 787,997,974,556.25/589,851
  6. Step 6: Final answer
    x = 1,335,927.17

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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.