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Finding the Third Proportional to 516,673.50 and 814,629

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Solution

The third proportional to 516,673.50 and 814,629 is: 1,284,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,673.50 : 814,629 = 814,629 : x
  2. Step 2: Convert to fraction form
    516,673.50/814,629 = 814,629/x
  3. Step 3: Cross multiply
    516,673.50x = 814,629 × 814,629
  4. Step 4: Simplify right side
    516,673.50x = 663,620,407,641
  5. Step 5: Solve for x
    x = 663,620,407,641/516,673.50
  6. Step 6: Final answer
    x = 1,284,409.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.