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Finding the Third Proportional to 417,000 and 898,848

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Solution

The third proportional to 417,000 and 898,848 is: 1,937,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,000 : 898,848 = 898,848 : x
  2. Step 2: Convert to fraction form
    417,000/898,848 = 898,848/x
  3. Step 3: Cross multiply
    417,000x = 898,848 × 898,848
  4. Step 4: Simplify right side
    417,000x = 807,927,727,104
  5. Step 5: Solve for x
    x = 807,927,727,104/417,000
  6. Step 6: Final answer
    x = 1,937,476.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.