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Finding the Third Proportional to 475,158 and 958,094

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Solution

The third proportional to 475,158 and 958,094 is: 1,931,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,158 : 958,094 = 958,094 : x
  2. Step 2: Convert to fraction form
    475,158/958,094 = 958,094/x
  3. Step 3: Cross multiply
    475,158x = 958,094 × 958,094
  4. Step 4: Simplify right side
    475,158x = 917,944,112,836
  5. Step 5: Solve for x
    x = 917,944,112,836/475,158
  6. Step 6: Final answer
    x = 1,931,871.32

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.