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Finding the Third Proportional to 523,781 and 784,807

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Solution

The third proportional to 523,781 and 784,807 is: 1,175,915.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,781 : 784,807 = 784,807 : x
  2. Step 2: Convert to fraction form
    523,781/784,807 = 784,807/x
  3. Step 3: Cross multiply
    523,781x = 784,807 × 784,807
  4. Step 4: Simplify right side
    523,781x = 615,922,027,249
  5. Step 5: Solve for x
    x = 615,922,027,249/523,781
  6. Step 6: Final answer
    x = 1,175,915.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.