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Finding the Third Proportional to 496,872 and 702,395

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Solution

The third proportional to 496,872 and 702,395 is: 992,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,872 : 702,395 = 702,395 : x
  2. Step 2: Convert to fraction form
    496,872/702,395 = 702,395/x
  3. Step 3: Cross multiply
    496,872x = 702,395 × 702,395
  4. Step 4: Simplify right side
    496,872x = 493,358,736,025
  5. Step 5: Solve for x
    x = 493,358,736,025/496,872
  6. Step 6: Final answer
    x = 992,929.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.