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Finding the Third Proportional to 546,142.50 and 847,968.75

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Solution

The third proportional to 546,142.50 and 847,968.75 is: 1,316,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,142.50 : 847,968.75 = 847,968.75 : x
  2. Step 2: Convert to fraction form
    546,142.50/847,968.75 = 847,968.75/x
  3. Step 3: Cross multiply
    546,142.50x = 847,968.75 × 847,968.75
  4. Step 4: Simplify right side
    546,142.50x = 719,051,000,976.56
  5. Step 5: Solve for x
    x = 719,051,000,976.56/546,142.50
  6. Step 6: Final answer
    x = 1,316,599.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.