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Finding the Third Proportional to 678,019.50 and 920,835

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Solution

The third proportional to 678,019.50 and 920,835 is: 1,250,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,019.50 : 920,835 = 920,835 : x
  2. Step 2: Convert to fraction form
    678,019.50/920,835 = 920,835/x
  3. Step 3: Cross multiply
    678,019.50x = 920,835 × 920,835
  4. Step 4: Simplify right side
    678,019.50x = 847,937,097,225
  5. Step 5: Solve for x
    x = 847,937,097,225/678,019.50
  6. Step 6: Final answer
    x = 1,250,608.72

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.