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Finding the Third Proportional to 546,861 and 856,132.50

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Solution

The third proportional to 546,861 and 856,132.50 is: 1,340,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,861 : 856,132.50 = 856,132.50 : x
  2. Step 2: Convert to fraction form
    546,861/856,132.50 = 856,132.50/x
  3. Step 3: Cross multiply
    546,861x = 856,132.50 × 856,132.50
  4. Step 4: Simplify right side
    546,861x = 732,962,857,556.25
  5. Step 5: Solve for x
    x = 732,962,857,556.25/546,861
  6. Step 6: Final answer
    x = 1,340,309.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.