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Finding the Third Proportional to 527,523 and 779,692.50

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Solution

The third proportional to 527,523 and 779,692.50 is: 1,152,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,523 : 779,692.50 = 779,692.50 : x
  2. Step 2: Convert to fraction form
    527,523/779,692.50 = 779,692.50/x
  3. Step 3: Cross multiply
    527,523x = 779,692.50 × 779,692.50
  4. Step 4: Simplify right side
    527,523x = 607,920,394,556.25
  5. Step 5: Solve for x
    x = 607,920,394,556.25/527,523
  6. Step 6: Final answer
    x = 1,152,405.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.