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Finding the Third Proportional to 350,502 and 760,054

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Solution

The third proportional to 350,502 and 760,054 is: 1,648,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,502 : 760,054 = 760,054 : x
  2. Step 2: Convert to fraction form
    350,502/760,054 = 760,054/x
  3. Step 3: Cross multiply
    350,502x = 760,054 × 760,054
  4. Step 4: Simplify right side
    350,502x = 577,682,082,916
  5. Step 5: Solve for x
    x = 577,682,082,916/350,502
  6. Step 6: Final answer
    x = 1,648,156.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.