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Finding the Third Proportional to 465,543 and 689,581.50

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Solution

The third proportional to 465,543 and 689,581.50 is: 1,021,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,543 : 689,581.50 = 689,581.50 : x
  2. Step 2: Convert to fraction form
    465,543/689,581.50 = 689,581.50/x
  3. Step 3: Cross multiply
    465,543x = 689,581.50 × 689,581.50
  4. Step 4: Simplify right side
    465,543x = 475,522,645,142.25
  5. Step 5: Solve for x
    x = 475,522,645,142.25/465,543
  6. Step 6: Final answer
    x = 1,021,436.57

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.