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Finding the Third Proportional to 365,089.50 and 784,152

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Solution

The third proportional to 365,089.50 and 784,152 is: 1,684,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,089.50 : 784,152 = 784,152 : x
  2. Step 2: Convert to fraction form
    365,089.50/784,152 = 784,152/x
  3. Step 3: Cross multiply
    365,089.50x = 784,152 × 784,152
  4. Step 4: Simplify right side
    365,089.50x = 614,894,359,104
  5. Step 5: Solve for x
    x = 614,894,359,104/365,089.50
  6. Step 6: Final answer
    x = 1,684,229.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.