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Finding the Third Proportional to 360,073 and 784,946

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Solution

The third proportional to 360,073 and 784,946 is: 1,711,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,073 : 784,946 = 784,946 : x
  2. Step 2: Convert to fraction form
    360,073/784,946 = 784,946/x
  3. Step 3: Cross multiply
    360,073x = 784,946 × 784,946
  4. Step 4: Simplify right side
    360,073x = 616,140,222,916
  5. Step 5: Solve for x
    x = 616,140,222,916/360,073
  6. Step 6: Final answer
    x = 1,711,153.64

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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.