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Finding the Third Proportional to 523,057.50 and 808,245

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Solution

The third proportional to 523,057.50 and 808,245 is: 1,248,925.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,057.50 : 808,245 = 808,245 : x
  2. Step 2: Convert to fraction form
    523,057.50/808,245 = 808,245/x
  3. Step 3: Cross multiply
    523,057.50x = 808,245 × 808,245
  4. Step 4: Simplify right side
    523,057.50x = 653,259,980,025
  5. Step 5: Solve for x
    x = 653,259,980,025/523,057.50
  6. Step 6: Final answer
    x = 1,248,925.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.