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Finding the Third Proportional to 360,783 and 784,361

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Solution

The third proportional to 360,783 and 784,361 is: 1,705,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,783 : 784,361 = 784,361 : x
  2. Step 2: Convert to fraction form
    360,783/784,361 = 784,361/x
  3. Step 3: Cross multiply
    360,783x = 784,361 × 784,361
  4. Step 4: Simplify right side
    360,783x = 615,222,178,321
  5. Step 5: Solve for x
    x = 615,222,178,321/360,783
  6. Step 6: Final answer
    x = 1,705,241.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.