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Finding the Third Proportional to 508,135.50 and 787,230

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Solution

The third proportional to 508,135.50 and 787,230 is: 1,219,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,135.50 : 787,230 = 787,230 : x
  2. Step 2: Convert to fraction form
    508,135.50/787,230 = 787,230/x
  3. Step 3: Cross multiply
    508,135.50x = 787,230 × 787,230
  4. Step 4: Simplify right side
    508,135.50x = 619,731,072,900
  5. Step 5: Solve for x
    x = 619,731,072,900/508,135.50
  6. Step 6: Final answer
    x = 1,219,617.75

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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.