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Finding the Third Proportional to 506,911.50 and 784,632.94

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Solution

The third proportional to 506,911.50 and 784,632.94 is: 1,214,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,911.50 : 784,632.94 = 784,632.94 : x
  2. Step 2: Convert to fraction form
    506,911.50/784,632.94 = 784,632.94/x
  3. Step 3: Cross multiply
    506,911.50x = 784,632.94 × 784,632.94
  4. Step 4: Simplify right side
    506,911.50x = 615,648,846,609.88
  5. Step 5: Solve for x
    x = 615,648,846,609.88/506,911.50
  6. Step 6: Final answer
    x = 1,214,509.53

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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.