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Finding the Third Proportional to 551,058 and 851,140.50

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Solution

The third proportional to 551,058 and 851,140.50 is: 1,314,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,058 : 851,140.50 = 851,140.50 : x
  2. Step 2: Convert to fraction form
    551,058/851,140.50 = 851,140.50/x
  3. Step 3: Cross multiply
    551,058x = 851,140.50 × 851,140.50
  4. Step 4: Simplify right side
    551,058x = 724,440,150,740.25
  5. Step 5: Solve for x
    x = 724,440,150,740.25/551,058
  6. Step 6: Final answer
    x = 1,314,635.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.