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Finding the Third Proportional to 398,346 and 597,951

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Solution

The third proportional to 398,346 and 597,951 is: 897,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,346 : 597,951 = 597,951 : x
  2. Step 2: Convert to fraction form
    398,346/597,951 = 597,951/x
  3. Step 3: Cross multiply
    398,346x = 597,951 × 597,951
  4. Step 4: Simplify right side
    398,346x = 357,545,398,401
  5. Step 5: Solve for x
    x = 357,545,398,401/398,346
  6. Step 6: Final answer
    x = 897,574.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.