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Finding the Third Proportional to 401,486.63 and 545,001.75

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Solution

The third proportional to 401,486.63 and 545,001.75 is: 739,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,486.63 : 545,001.75 = 545,001.75 : x
  2. Step 2: Convert to fraction form
    401,486.63/545,001.75 = 545,001.75/x
  3. Step 3: Cross multiply
    401,486.63x = 545,001.75 × 545,001.75
  4. Step 4: Simplify right side
    401,486.63x = 297,026,907,503.06
  5. Step 5: Solve for x
    x = 297,026,907,503.06/401,486.63
  6. Step 6: Final answer
    x = 739,817.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.