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Finding the Third Proportional to 535,407 and 860,998.50

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Solution

The third proportional to 535,407 and 860,998.50 is: 1,384,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,407 : 860,998.50 = 860,998.50 : x
  2. Step 2: Convert to fraction form
    535,407/860,998.50 = 860,998.50/x
  3. Step 3: Cross multiply
    535,407x = 860,998.50 × 860,998.50
  4. Step 4: Simplify right side
    535,407x = 741,318,417,002.25
  5. Step 5: Solve for x
    x = 741,318,417,002.25/535,407
  6. Step 6: Final answer
    x = 1,384,588.58

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.