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Finding the Third Proportional to 301,890 and 646,051.50

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Solution

The third proportional to 301,890 and 646,051.50 is: 1,382,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,890 : 646,051.50 = 646,051.50 : x
  2. Step 2: Convert to fraction form
    301,890/646,051.50 = 646,051.50/x
  3. Step 3: Cross multiply
    301,890x = 646,051.50 × 646,051.50
  4. Step 4: Simplify right side
    301,890x = 417,382,540,652.25
  5. Step 5: Solve for x
    x = 417,382,540,652.25/301,890
  6. Step 6: Final answer
    x = 1,382,564.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.