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Finding the Third Proportional to 590,866.50 and 860,464.50

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Solution

The third proportional to 590,866.50 and 860,464.50 is: 1,253,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,866.50 : 860,464.50 = 860,464.50 : x
  2. Step 2: Convert to fraction form
    590,866.50/860,464.50 = 860,464.50/x
  3. Step 3: Cross multiply
    590,866.50x = 860,464.50 × 860,464.50
  4. Step 4: Simplify right side
    590,866.50x = 740,399,155,760.25
  5. Step 5: Solve for x
    x = 740,399,155,760.25/590,866.50
  6. Step 6: Final answer
    x = 1,253,073.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.