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Finding the Third Proportional to 475,732 and 998,160

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Solution

The third proportional to 475,732 and 998,160 is: 2,094,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,732 : 998,160 = 998,160 : x
  2. Step 2: Convert to fraction form
    475,732/998,160 = 998,160/x
  3. Step 3: Cross multiply
    475,732x = 998,160 × 998,160
  4. Step 4: Simplify right side
    475,732x = 996,323,385,600
  5. Step 5: Solve for x
    x = 996,323,385,600/475,732
  6. Step 6: Final answer
    x = 2,094,295.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.