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Finding the Third Proportional to 357,266.25 and 507,825

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Solution

The third proportional to 357,266.25 and 507,825 is: 721,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,266.25 : 507,825 = 507,825 : x
  2. Step 2: Convert to fraction form
    357,266.25/507,825 = 507,825/x
  3. Step 3: Cross multiply
    357,266.25x = 507,825 × 507,825
  4. Step 4: Simplify right side
    357,266.25x = 257,886,230,625
  5. Step 5: Solve for x
    x = 257,886,230,625/357,266.25
  6. Step 6: Final answer
    x = 721,832.05

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.