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Finding the Third Proportional to 310,410 and 665,094

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Solution

The third proportional to 310,410 and 665,094 is: 1,425,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,410 : 665,094 = 665,094 : x
  2. Step 2: Convert to fraction form
    310,410/665,094 = 665,094/x
  3. Step 3: Cross multiply
    310,410x = 665,094 × 665,094
  4. Step 4: Simplify right side
    310,410x = 442,350,028,836
  5. Step 5: Solve for x
    x = 442,350,028,836/310,410
  6. Step 6: Final answer
    x = 1,425,050.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.