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Finding the Third Proportional to 360,074 and 784,948

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Solution

The third proportional to 360,074 and 784,948 is: 1,711,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,074 : 784,948 = 784,948 : x
  2. Step 2: Convert to fraction form
    360,074/784,948 = 784,948/x
  3. Step 3: Cross multiply
    360,074x = 784,948 × 784,948
  4. Step 4: Simplify right side
    360,074x = 616,143,362,704
  5. Step 5: Solve for x
    x = 616,143,362,704/360,074
  6. Step 6: Final answer
    x = 1,711,157.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.