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Finding the Third Proportional to 512,496 and 748,989

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Solution

The third proportional to 512,496 and 748,989 is: 1,094,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,496 : 748,989 = 748,989 : x
  2. Step 2: Convert to fraction form
    512,496/748,989 = 748,989/x
  3. Step 3: Cross multiply
    512,496x = 748,989 × 748,989
  4. Step 4: Simplify right side
    512,496x = 560,984,522,121
  5. Step 5: Solve for x
    x = 560,984,522,121/512,496
  6. Step 6: Final answer
    x = 1,094,612.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.