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Finding the Third Proportional to 334,122.47 and 548,511.75

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Solution

The third proportional to 334,122.47 and 548,511.75 is: 900,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,122.47 : 548,511.75 = 548,511.75 : x
  2. Step 2: Convert to fraction form
    334,122.47/548,511.75 = 548,511.75/x
  3. Step 3: Cross multiply
    334,122.47x = 548,511.75 × 548,511.75
  4. Step 4: Simplify right side
    334,122.47x = 300,865,139,888.06
  5. Step 5: Solve for x
    x = 300,865,139,888.06/334,122.47
  6. Step 6: Final answer
    x = 900,463.66

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.