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Finding the Third Proportional to 350,902 and 501,805

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Solution

The third proportional to 350,902 and 501,805 is: 717,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,902 : 501,805 = 501,805 : x
  2. Step 2: Convert to fraction form
    350,902/501,805 = 501,805/x
  3. Step 3: Cross multiply
    350,902x = 501,805 × 501,805
  4. Step 4: Simplify right side
    350,902x = 251,808,258,025
  5. Step 5: Solve for x
    x = 251,808,258,025/350,902
  6. Step 6: Final answer
    x = 717,602.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.