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Finding the Third Proportional to 506,913 and 784,635

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Solution

The third proportional to 506,913 and 784,635 is: 1,214,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,913 : 784,635 = 784,635 : x
  2. Step 2: Convert to fraction form
    506,913/784,635 = 784,635/x
  3. Step 3: Cross multiply
    506,913x = 784,635 × 784,635
  4. Step 4: Simplify right side
    506,913x = 615,652,083,225
  5. Step 5: Solve for x
    x = 615,652,083,225/506,913
  6. Step 6: Final answer
    x = 1,214,512.32

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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.