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Finding the Third Proportional to 373,257 and 566,797.50

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Solution

The third proportional to 373,257 and 566,797.50 is: 860,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,257 : 566,797.50 = 566,797.50 : x
  2. Step 2: Convert to fraction form
    373,257/566,797.50 = 566,797.50/x
  3. Step 3: Cross multiply
    373,257x = 566,797.50 × 566,797.50
  4. Step 4: Simplify right side
    373,257x = 321,259,406,006.25
  5. Step 5: Solve for x
    x = 321,259,406,006.25/373,257
  6. Step 6: Final answer
    x = 860,692.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.