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Finding the Third Proportional to 301,421.25 and 650,164.50

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Solution

The third proportional to 301,421.25 and 650,164.50 is: 1,402,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,421.25 : 650,164.50 = 650,164.50 : x
  2. Step 2: Convert to fraction form
    301,421.25/650,164.50 = 650,164.50/x
  3. Step 3: Cross multiply
    301,421.25x = 650,164.50 × 650,164.50
  4. Step 4: Simplify right side
    301,421.25x = 422,713,877,060.25
  5. Step 5: Solve for x
    x = 422,713,877,060.25/301,421.25
  6. Step 6: Final answer
    x = 1,402,402.38

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