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Finding the Third Proportional to 364,526 and 784,930.50

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Solution

The third proportional to 364,526 and 784,930.50 is: 1,690,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,526 : 784,930.50 = 784,930.50 : x
  2. Step 2: Convert to fraction form
    364,526/784,930.50 = 784,930.50/x
  3. Step 3: Cross multiply
    364,526x = 784,930.50 × 784,930.50
  4. Step 4: Simplify right side
    364,526x = 616,115,889,830.25
  5. Step 5: Solve for x
    x = 616,115,889,830.25/364,526
  6. Step 6: Final answer
    x = 1,690,183.66

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