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Finding the Third Proportional to 506,961 and 784,711

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Solution

The third proportional to 506,961 and 784,711 is: 1,214,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,961 : 784,711 = 784,711 : x
  2. Step 2: Convert to fraction form
    506,961/784,711 = 784,711/x
  3. Step 3: Cross multiply
    506,961x = 784,711 × 784,711
  4. Step 4: Simplify right side
    506,961x = 615,771,353,521
  5. Step 5: Solve for x
    x = 615,771,353,521/506,961
  6. Step 6: Final answer
    x = 1,214,632.59

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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.