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Finding the Third Proportional to 459,165 and 723,963

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Solution

The third proportional to 459,165 and 723,963 is: 1,141,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,165 : 723,963 = 723,963 : x
  2. Step 2: Convert to fraction form
    459,165/723,963 = 723,963/x
  3. Step 3: Cross multiply
    459,165x = 723,963 × 723,963
  4. Step 4: Simplify right side
    459,165x = 524,122,425,369
  5. Step 5: Solve for x
    x = 524,122,425,369/459,165
  6. Step 6: Final answer
    x = 1,141,468.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.