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Finding the Third Proportional to 364,518 and 784,915

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Solution

The third proportional to 364,518 and 784,915 is: 1,690,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,518 : 784,915 = 784,915 : x
  2. Step 2: Convert to fraction form
    364,518/784,915 = 784,915/x
  3. Step 3: Cross multiply
    364,518x = 784,915 × 784,915
  4. Step 4: Simplify right side
    364,518x = 616,091,557,225
  5. Step 5: Solve for x
    x = 616,091,557,225/364,518
  6. Step 6: Final answer
    x = 1,690,154.00

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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.