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Finding the Third Proportional to 564,781.50 and 860,415.75

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Solution

The third proportional to 564,781.50 and 860,415.75 is: 1,310,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,781.50 : 860,415.75 = 860,415.75 : x
  2. Step 2: Convert to fraction form
    564,781.50/860,415.75 = 860,415.75/x
  3. Step 3: Cross multiply
    564,781.50x = 860,415.75 × 860,415.75
  4. Step 4: Simplify right side
    564,781.50x = 740,315,262,848.06
  5. Step 5: Solve for x
    x = 740,315,262,848.06/564,781.50
  6. Step 6: Final answer
    x = 1,310,799.42

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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.