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Finding the Third Proportional to 338,428.76 and 507,716.23

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Solution

The third proportional to 338,428.76 and 507,716.23 is: 761,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,428.76 : 507,716.23 = 507,716.23 : x
  2. Step 2: Convert to fraction form
    338,428.76/507,716.23 = 507,716.23/x
  3. Step 3: Cross multiply
    338,428.76x = 507,716.23 × 507,716.23
  4. Step 4: Simplify right side
    338,428.76x = 257,775,766,714.86
  5. Step 5: Solve for x
    x = 257,775,766,714.86/338,428.76
  6. Step 6: Final answer
    x = 761,683.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.