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Finding the Third Proportional to 546,165 and 847,993.50

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Solution

The third proportional to 546,165 and 847,993.50 is: 1,316,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,165 : 847,993.50 = 847,993.50 : x
  2. Step 2: Convert to fraction form
    546,165/847,993.50 = 847,993.50/x
  3. Step 3: Cross multiply
    546,165x = 847,993.50 × 847,993.50
  4. Step 4: Simplify right side
    546,165x = 719,092,976,042.25
  5. Step 5: Solve for x
    x = 719,092,976,042.25/546,165
  6. Step 6: Final answer
    x = 1,316,622.22

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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.