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Finding the Third Proportional to 514,944 and 753,984

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Solution

The third proportional to 514,944 and 753,984 is: 1,103,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,944 : 753,984 = 753,984 : x
  2. Step 2: Convert to fraction form
    514,944/753,984 = 753,984/x
  3. Step 3: Cross multiply
    514,944x = 753,984 × 753,984
  4. Step 4: Simplify right side
    514,944x = 568,491,872,256
  5. Step 5: Solve for x
    x = 568,491,872,256/514,944
  6. Step 6: Final answer
    x = 1,103,987.76

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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.