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Finding the Third Proportional to 615,937.50 and 823,905

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Solution

The third proportional to 615,937.50 and 823,905 is: 1,102,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,937.50 : 823,905 = 823,905 : x
  2. Step 2: Convert to fraction form
    615,937.50/823,905 = 823,905/x
  3. Step 3: Cross multiply
    615,937.50x = 823,905 × 823,905
  4. Step 4: Simplify right side
    615,937.50x = 678,819,449,025
  5. Step 5: Solve for x
    x = 678,819,449,025/615,937.50
  6. Step 6: Final answer
    x = 1,102,091.44

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.