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Finding the Third Proportional to 506,916 and 784,641

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Solution

The third proportional to 506,916 and 784,641 is: 1,214,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,916 : 784,641 = 784,641 : x
  2. Step 2: Convert to fraction form
    506,916/784,641 = 784,641/x
  3. Step 3: Cross multiply
    506,916x = 784,641 × 784,641
  4. Step 4: Simplify right side
    506,916x = 615,661,498,881
  5. Step 5: Solve for x
    x = 615,661,498,881/506,916
  6. Step 6: Final answer
    x = 1,214,523.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.