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Finding the Third Proportional to 462,559.50 and 528,993

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Solution

The third proportional to 462,559.50 and 528,993 is: 604,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,559.50 : 528,993 = 528,993 : x
  2. Step 2: Convert to fraction form
    462,559.50/528,993 = 528,993/x
  3. Step 3: Cross multiply
    462,559.50x = 528,993 × 528,993
  4. Step 4: Simplify right side
    462,559.50x = 279,833,594,049
  5. Step 5: Solve for x
    x = 279,833,594,049/462,559.50
  6. Step 6: Final answer
    x = 604,967.78

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.