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Finding the Third Proportional to 564,774.75 and 860,400

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Solution

The third proportional to 564,774.75 and 860,400 is: 1,310,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,774.75 : 860,400 = 860,400 : x
  2. Step 2: Convert to fraction form
    564,774.75/860,400 = 860,400/x
  3. Step 3: Cross multiply
    564,774.75x = 860,400 × 860,400
  4. Step 4: Simplify right side
    564,774.75x = 740,288,160,000
  5. Step 5: Solve for x
    x = 740,288,160,000/564,774.75
  6. Step 6: Final answer
    x = 1,310,767.10

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