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Finding the Third Proportional to 458,866.69 and 510,534.56

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Solution

The third proportional to 458,866.69 and 510,534.56 is: 568,020.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,866.69 : 510,534.56 = 510,534.56 : x
  2. Step 2: Convert to fraction form
    458,866.69/510,534.56 = 510,534.56/x
  3. Step 3: Cross multiply
    458,866.69x = 510,534.56 × 510,534.56
  4. Step 4: Simplify right side
    458,866.69x = 260,645,539,507.07
  5. Step 5: Solve for x
    x = 260,645,539,507.07/458,866.69
  6. Step 6: Final answer
    x = 568,020.18

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.