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Finding the Third Proportional to 530,913 and 1,150,399.50

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Solution

The third proportional to 530,913 and 1,150,399.50 is: 2,492,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,913 : 1,150,399.50 = 1,150,399.50 : x
  2. Step 2: Convert to fraction form
    530,913/1,150,399.50 = 1,150,399.50/x
  3. Step 3: Cross multiply
    530,913x = 1,150,399.50 × 1,150,399.50
  4. Step 4: Simplify right side
    530,913x = 1,323,419,009,600.25
  5. Step 5: Solve for x
    x = 1,323,419,009,600.25/530,913
  6. Step 6: Final answer
    x = 2,492,722.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.