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Finding the Third Proportional to 301,913 and 651,120

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Solution

The third proportional to 301,913 and 651,120 is: 1,404,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,913 : 651,120 = 651,120 : x
  2. Step 2: Convert to fraction form
    301,913/651,120 = 651,120/x
  3. Step 3: Cross multiply
    301,913x = 651,120 × 651,120
  4. Step 4: Simplify right side
    301,913x = 423,957,254,400
  5. Step 5: Solve for x
    x = 423,957,254,400/301,913
  6. Step 6: Final answer
    x = 1,404,236.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.