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Finding the Third Proportional to 546,116.63 and 819,175.50

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Solution

The third proportional to 546,116.63 and 819,175.50 is: 1,228,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,116.63 : 819,175.50 = 819,175.50 : x
  2. Step 2: Convert to fraction form
    546,116.63/819,175.50 = 819,175.50/x
  3. Step 3: Cross multiply
    546,116.63x = 819,175.50 × 819,175.50
  4. Step 4: Simplify right side
    546,116.63x = 671,048,499,800.25
  5. Step 5: Solve for x
    x = 671,048,499,800.25/546,116.63
  6. Step 6: Final answer
    x = 1,228,764.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.